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	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20313</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20313"/>
		<updated>2020-09-07T20:13:10Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Path-Integral CPMD==&lt;br /&gt;
The path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[http://www.cp2k.org/ CP2K] &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/5.0007045 Thomas D. Kühne et al. &amp;quot;CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;152&#039;&#039;&#039; pp. 194103 (2020)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20312</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20312"/>
		<updated>2020-09-07T20:12:08Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: Stub removed&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Path-Integral CPMD==&lt;br /&gt;
The path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[[CP2K]] &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/5.0007045 Thomas D. Kühne et al. &amp;quot;CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;152&#039;&#039;&#039; pp. 194103 (2020)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20311</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20311"/>
		<updated>2020-09-07T20:11:32Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: CP2K added&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{stub-general}}&lt;br /&gt;
The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Path-Integral CPMD==&lt;br /&gt;
The path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[[CP2K]] &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/5.0007045 Thomas D. Kühne et al. &amp;quot;CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;152&#039;&#039;&#039; pp. 194103 (2020)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=CPMD&amp;diff=20310</id>
		<title>CPMD</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=CPMD&amp;diff=20310"/>
		<updated>2020-09-07T20:08:24Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: Typo&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[http://www.cpmd.org/ CPMD] (Car-Parrinello molecular dynamics) is a parallelized plane wave/pseudopotential implementation of &lt;br /&gt;
[[density-functional theory]], particularly designed for  [[Ab initio molecular dynamics |&#039;&#039;ab-initio&#039;&#039; molecular dynamics]].&lt;br /&gt;
CPMD is copyrighted jointly by IBM Corp and by Max Planck Institute, Stuttgart, and is distributed free of charge to non-profit organizations.&lt;br /&gt;
==References==&lt;br /&gt;
*[http://dx.doi.org/10.1016/S0167-8191(00)00014-4 Wanda Andreoni and Alessandro Curioni &amp;quot;New advances in chemistry and materials science with CPMD and parallel computing&amp;quot;, Parallel Computing &#039;&#039;&#039;26&#039;&#039;&#039; pp. 819-842 (2000)]&lt;br /&gt;
*[http://dx.doi.org/10.1016/j.parco.2004.12.004 Jürg Hutter and Alessandro Curioni &amp;quot;Dual-level parallelism for ab initio molecular dynamics: Reaching teraflop performance with the CPMD code&amp;quot;, Parallel Computing &#039;&#039;&#039;31&#039;&#039;&#039; pp. 1-17 (2005)]&lt;br /&gt;
[[Category: Materials modelling and computer simulation codes]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Path_integral_formulation&amp;diff=20309</id>
		<title>Path integral formulation</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Path_integral_formulation&amp;diff=20309"/>
		<updated>2020-09-07T20:04:32Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: /* Computer simulation techniques */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The &#039;&#039;&#039;path integral formulation&#039;&#039;&#039;, here from the [[statistical mechanics | statistical mechanical]] point of view,  is an elegant method by which [[quantum mechanics | quantum mechanical]] contributions can be incorporated &lt;br /&gt;
within a classical [[Computer simulation techniques |simulation]] using Feynman path integrals (see the [[Path integral formulation#Additional reading|additional reading ]] section). Such simulations are particularly  applicable to light atoms and molecules such as [[hydrogen]], [[helium]], [[neon]] and [[argon]], as well as quantum rotators such as [[methane]] and hydrogen-bonded systems such as [[water]]. From a more idealised point of view path integrals are often used to study [[quantum hard spheres]].&lt;br /&gt;
==Principles==&lt;br /&gt;
In the path integral formulation the canonical [[partition function]] (in one dimension) is written as &lt;br /&gt;
(&amp;lt;ref  name=&amp;quot;Berne&amp;quot;&amp;gt;[http://dx.doi.org/10.1146/annurev.pc.37.100186.002153  B. J. Berne and ­D. Thirumalai &amp;quot;On the Simulation of Quantum Systems: Path Integral Methods&amp;quot;, Annual Review of Physical Chemistry &#039;&#039;&#039;37&#039;&#039;&#039; pp. 401-424 (1986)]&amp;lt;/ref&amp;gt;  Eq. 1)&lt;br /&gt;
:&amp;lt;math&amp;gt;Q(\beta, V)= \int {\mathrm d} x_1 \int_{x_1}^{x_1} Dx(\tau)e^{-S[x(\tau)]}&amp;lt;/math&amp;gt; &lt;br /&gt;
where &amp;lt;math&amp;gt;S[x(\tau)]&amp;lt;/math&amp;gt; is the Euclidean action, given by (&amp;lt;ref  name=&amp;quot;Berne&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt; Eq. 2)&lt;br /&gt;
:&amp;lt;math&amp;gt;S[x(\tau)] = \int_0^{\beta \hbar} H(x(\tau)) ~{\mathrm d}\tau&amp;lt;/math&amp;gt;&lt;br /&gt;
where &amp;lt;math&amp;gt;x(\tau)&amp;lt;/math&amp;gt; is the path in time &amp;lt;math&amp;gt;\tau&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;H&amp;lt;/math&amp;gt; is the [[Hamiltonian]].&lt;br /&gt;
This leads to (&amp;lt;ref  name=&amp;quot;Berne&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt; Eq. 3)&lt;br /&gt;
:&amp;lt;math&amp;gt;Q_P = \left( \frac{mP}{2 \pi \beta \hbar^2} \right)^{P/2} \int ... \int {\mathrm d}x_1... {\mathrm d}x_P e^{-\beta \Phi_P (x_1...x_P;\beta)}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the Euclidean time is discretised in units of &lt;br /&gt;
:&amp;lt;math&amp;gt;\varepsilon = \frac{\beta \hbar}{P}, P \in {\mathbb Z}&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;x_t = x(t \beta \hbar/P)&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;x_{P+1}=x_1&amp;lt;/math&amp;gt;&lt;br /&gt;
and (&amp;lt;ref  name=&amp;quot;Berne&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt; Eq. 4)&lt;br /&gt;
:&amp;lt;math&amp;gt;\Phi_P (x_1...x_P;\beta)= \frac{mP}{2\beta^2 \hbar^2} \sum_{t=1}^P (x_t - x_{t+1})^2 + \frac{1}{P}  \sum_{t=1}^P  V(x_t)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the Trotter number. In the Trotter limit, where &amp;lt;math&amp;gt;P \rightarrow \infty&amp;lt;/math&amp;gt; these equations become exact. In the case where &amp;lt;math&amp;gt;P=1&amp;lt;/math&amp;gt; these equations revert to a classical simulation. It has long been recognised that there is an isomorphism between this discretised quantum mechanical description, and the classical [[statistical mechanics]] of polyatomic fluids, in particular flexible ring molecules&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.441588      David Chandler and Peter G. Wolynes &amp;quot;Exploiting the isomorphism between quantum theory and classical statistical mechanics of polyatomic fluids&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;74&#039;&#039;&#039; pp. 4078-4095 (1981)]&amp;lt;/ref&amp;gt;, due to the periodic boundary conditions in imaginary time. It can be seen from the first term of the above equation that each particle &amp;lt;math&amp;gt;x_t&amp;lt;/math&amp;gt; interacts with is neighbours &amp;lt;math&amp;gt;x_{t-1}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;x_{t+1}&amp;lt;/math&amp;gt; via a harmonic spring. The second term provides the internal potential energy. &lt;br /&gt;
&lt;br /&gt;
The following is a schematic for the interaction between atom &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; (green) and atom &amp;lt;math&amp;gt;j&amp;lt;/math&amp;gt; (orange). Here we show the atoms having five  Trotter slices (&amp;lt;math&amp;gt;P=5&amp;lt;/math&amp;gt;), forming what can be thought of as a &amp;quot;ring polymer molecule&amp;quot;. The harmonic springs between Trotter slices are in yellow, and white/blue bonds represent the classical [[intermolecular pair potential]].&lt;br /&gt;
&lt;br /&gt;
:{| border=&amp;quot;1&amp;quot;&lt;br /&gt;
| [[Image:1bead_classical_ij.png|center|400px]]Classical limit (P=1)   || [[Image:5bead_pathIntegra_ij.png|center|400px]] Path integral (here with P=5) &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
In three dimensions one has the &#039;&#039;density operator&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\hat{\rho} (\beta) = \exp\left[ -\beta \hat{H} \right]&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
which thanks to the [[Trotter formula]] we can tease out &amp;lt;math&amp;gt;\exp \left[ -\beta (U_{\mathrm {spring}}+ U_{\mathrm{internal}} ) \right]&amp;lt;/math&amp;gt;, where &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;U_{\mathrm {spring}} = \frac{mP}{2\beta^2 \hbar^2} \sum_{t=1}^P | \mathbf{r}_t - \mathbf{r}_{t+1} |^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
and&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;U_{\mathrm{internal}}= \frac{1}{P}  \sum_{t=1}^P  V(\mathbf{r}_t)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The [[internal energy]] is given by &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\langle U \rangle = \frac{3NP}{2\beta}- \langle U_{\mathrm {spring}}   \rangle  + \langle U_{\mathrm{internal}} \rangle &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The average kinetic energy is known as the &#039;&#039;primitive estimator&#039;&#039;, i.e. &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\langle K_P \rangle = \frac{3NP}{2\beta}- \langle U_{\mathrm {spring}}   \rangle    &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Harmonic oscillator==&lt;br /&gt;
The density matrix for a harmonic oscillator is given by (&amp;lt;ref&amp;gt;R. P. Feynman and A. R. Hibbs &amp;quot;Path-integrals and Quantum Mechanics&amp;quot;, McGraw-Hill, New York (1965) ISBN 0-07-020650-3&amp;lt;/ref&amp;gt; Eq. 10-44)&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\rho(x&#039;,x)= \sqrt{ \frac{m \omega}{2 \pi \hbar \sinh \omega \beta \hbar} } \exp \left( - \frac{m \omega}{2  \hbar (\sinh \omega \beta \hbar)^2 }  \left( (x^2 + x&#039;^2 ) \cosh \omega \beta \hbar - 2xx&#039;\right)\right)&amp;lt;/math&amp;gt; &lt;br /&gt;
&lt;br /&gt;
See also refs&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1119/1.18910 Barry R. Holstein &amp;quot;The harmonic oscillator propagator&amp;quot;, American Journal of Physics &#039;&#039;&#039;66&#039;&#039;&#039; pp. 583-589 (1998)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1119/1.1715108 L. Moriconi &amp;quot;An elementary derivation of the harmonic oscillator propagator&amp;quot;, American Journal of Physics &#039;&#039;&#039;72&#039;&#039;&#039; pp. 1258-1259  (2004)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Wick rotation and imaginary time==&lt;br /&gt;
Wick rotation &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRev.96.1124 G. C. Wick &amp;quot;Properties of Bethe-Salpeter Wave Functions&amp;quot;, Physical Review &#039;&#039;&#039;96&#039;&#039;&#039; pp. 1124-1134 (1954)]&amp;lt;/ref&amp;gt;. One can identify the [[Temperature#Inverse_temperature | inverse temperature]], &amp;lt;math&amp;gt;\beta&amp;lt;/math&amp;gt; with an imaginary time &amp;lt;math&amp;gt;it/\hbar&amp;lt;/math&amp;gt; (see &amp;lt;ref&amp;gt;M. J. Gillan &amp;quot;The path-integral simulation of quantum systems&amp;quot; in &amp;quot;Computer Modelling of Fluids Polymers and Solids&amp;quot; eds. C. R. A. Catlow, S. C. Parker and M. P. Allen,  NATO ASI Series C &#039;&#039;&#039;293&#039;&#039;&#039; pp. 155-188 (1990) ISBN 978-0-7923-0549-1&amp;lt;/ref&amp;gt; &amp;amp;sect; 2.4).&lt;br /&gt;
==Rotational degrees of freedom==&lt;br /&gt;
In the case of systems having (&amp;lt;math&amp;gt;d&amp;lt;/math&amp;gt;) rotational [[degree of freedom | degrees of freedom]] the [[Hamiltonian]] can be written in the form (&amp;lt;ref  name=&amp;quot;Marx&amp;quot;&amp;gt;[http://dx.doi.org/10.1088/0953-8984/11/11/003 Dominik Marx and Martin H Müser &amp;quot;Path integral simulations of rotors: theory and applications&amp;quot;, Journal of Physics: Condensed Matter &#039;&#039;&#039;11&#039;&#039;&#039; pp. R117-R155  (1999)]&amp;lt;/ref&amp;gt; Eq. 2.1):&lt;br /&gt;
:&amp;lt;math&amp;gt;\hat{H} = \hat{T}^{\mathrm {translational}} + \hat{T}^{\mathrm {rotational}}+ \hat{V}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where the rotational part of the kinetic energy operator is given by (&amp;lt;ref  name=&amp;quot;Marx&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt; Eq. 2.2)&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;T^{\mathrm {rotational}} = \sum_{i=1}^{d^{\mathrm {rotational}}} \frac{\hat{L}_i^2}{2\Theta_{ii}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\hat{L}_i&amp;lt;/math&amp;gt; are the components of the angular momentum operator, and &amp;lt;math&amp;gt;\Theta_{ii}&amp;lt;/math&amp;gt; are the moments of inertia. &lt;br /&gt;
==Rigid rotators==&lt;br /&gt;
:&#039;&#039;Main article: [[Rigid top propagator]]&#039;&#039;&lt;br /&gt;
==Computer simulation techniques==&lt;br /&gt;
The following are a number of commonly used [[computer simulation techniques]] that make use of the path integral formulation applied  to phases of condensed matter&lt;br /&gt;
====Path integral Monte Carlo====&lt;br /&gt;
Path integral Monte Carlo (PIMC)&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.437829 J. A. Barker &amp;quot;A quantum-statistical Monte Carlo method; path integrals with boundary conditions&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;70&#039;&#039;&#039; pp. 2914- (1979)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Path integral molecular dynamics====&lt;br /&gt;
Path integral molecular dynamics (PIMD)&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.446740 M. Parrinello and A. Rahman  &amp;quot;Study of an F center in molten KCl&amp;quot;, Journal of Chemical Physics  &#039;&#039;&#039;80&#039;&#039;&#039; pp. 860- (1984)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Centroid molecular dynamics====&lt;br /&gt;
Centroid molecular dynamics (CMD)&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.467175     Jianshu Cao and Gregory A. Voth &amp;quot;The formulation of quantum statistical mechanics based on the Feynman path centroid density. I. Equilibrium properties&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;100&#039;&#039;&#039; pp. 5093-5105 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.467176 Jianshu Cao and Gregory A. Voth &amp;quot;The formulation of quantum statistical mechanics based on the Feynman path centroid density. II. Dynamical properties&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;100&#039;&#039;&#039; pp. 5106- (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.479515 Seogjoo Jang and Gregory A. Voth &amp;quot;A derivation of centroid molecular dynamics and other approximate time evolution methods for path integral centroid variables&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;111&#039;&#039;&#039; pp. 2371- (1999)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.479666     Rafael Ramírez and Telesforo López-Ciudad  &amp;quot;The Schrödinger formulation of the Feynman path centroid density&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;111&#039;&#039;&#039; pp. 3339-3348 (1999)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3484490  E. A. Polyakov, A. P. Lyubartsev, and P. N. Vorontsov-Velyaminov &amp;quot;Centroid molecular dynamics: Comparison with exact results for model systems&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;133&#039;&#039;&#039; 194103 (2010)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Ring polymer molecular dynamics====&lt;br /&gt;
Ring polymer molecular dynamics (RPMD)&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.1777575  Ian R. Craig and David E. Manolopoulos &amp;quot;Quantum statistics and classical mechanics: Real time correlation functions from ring polymer molecular dynamics&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;121&#039;&#039;&#039; pp. 3368- (2004)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2357599 Bastiaan J. Braams and David E. Manolopoulos &amp;quot;On the short-time limit of ring polymer molecular dynamics&amp;quot;,  Journal of Chemical Physics  &#039;&#039;&#039;125&#039;&#039;&#039; 124105 (2006)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
(Contraction scheme&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2953308 Thomas E. Markland and David E. Manolopoulos &amp;quot;An efficient ring polymer contraction scheme for imaginary time path integral simulations&amp;quot;,  Journal of Chemical Physics &#039;&#039;&#039;129&#039;&#039;&#039; 024105 (2008)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1016/j.cplett.2008.09.019 Thomas E. Markland and David E. Manolopoulos &amp;quot;A refined ring polymer contraction scheme for systems with electrostatic interactions&amp;quot; Chemical Physics Letters &#039;&#039;&#039;464&#039;&#039;&#039; pp. 256-261 (2008)]&amp;lt;/ref&amp;gt;)&lt;br /&gt;
====Car-Parrinello path-integral molecular dynamics====&lt;br /&gt;
Path-integral [[Car-Parrinello technique]]&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Normal mode PIMD====&lt;br /&gt;
====Grand canonical Monte Carlo====&lt;br /&gt;
A path integral version of the [[Widom test-particle method]] for [[grand canonical Monte Carlo]] simulations:&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.474874 Qinyu Wang, J. Karl Johnson and Jeremy Q. Broughton &amp;quot;Path integral grand canonical Monte Carlo&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;107&#039;&#039;&#039; pp. 5108-5117 (1997)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Applications==&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.470898     Jianshu Cao and Gregory A. Voth &amp;quot;Semiclassical approximations to quantum dynamical time correlation functions&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 273-285 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.1316105 C. Chakravarty and R. M. Lynden-Bell &amp;quot;Landau free energy curves for melting of quantum solids&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 9239-9247 (2000)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
==Additional reading==&lt;br /&gt;
* P. A. M. Dirac &amp;quot;The Lagrangian in Quantum Mechanics&amp;quot;, Physikalische Zeitschrift der Sowjetunion &#039;&#039;&#039;3&#039;&#039;&#039; pp. 64-72 (1933)&lt;br /&gt;
*R. P. Feynman &amp;quot;Statistical Mechanics&amp;quot;, Benjamin, Reading, Massachusetts, (1972) ISBN 0-201-36076-4  Chapter 3.&lt;br /&gt;
*[http://dx.doi.org/10.1143/JPSJ.35.980 Tohru Morita &amp;quot;Solution of the Bloch Equation for Many-Particle Systems in Terms of the Path Integral&amp;quot;, Journal of the Physical Society of Japan &#039;&#039;&#039;35&#039;&#039;&#039; pp. 980-984 (1973)]&lt;br /&gt;
*[http://dx.doi.org/10.1016/0370-1573(75)90030-7 F. W. Wiegel &amp;quot;Path integral methods in statistical mechanics&amp;quot;, Physics Reports &#039;&#039;&#039;16&#039;&#039;&#039; pp. 57-114 (1975)] &lt;br /&gt;
*[http://dx.doi.org/10.1063/1.437829 J. A. Barker &amp;quot;A quantum-statistical Monte Carlo method; path integrals with boundary conditions&amp;quot;, Journal of Chemical Physics  &#039;&#039;&#039;70&#039;&#039;&#039; pp. 2914-2918 (1979)]&lt;br /&gt;
*[http://dx.doi.org/10.1103/RevModPhys.67.279 D. M. Ceperley &amp;quot;Path integrals in the theory of condensed helium&amp;quot;, Reviews of Modern Physics &#039;&#039;&#039;67&#039;&#039;&#039; 279 - 355 (1995)]&lt;br /&gt;
*[http://dx.doi.org/10.1080/014423597230190 Charusita Chakravarty &amp;quot;Path integral simulations of atomic and molecular systems&amp;quot;, International Reviews in Physical Chemistry &#039;&#039;&#039;16&#039;&#039;&#039; pp. 421-444 (1997)]&lt;br /&gt;
*[http://www.scholarpedia.org/article/Path_integral Jean Zinn-Justin &amp;quot;Path integral&amp;quot;  Scholarpedia, 4(2):8674 (2009)]&lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
*[http://www.smac.lps.ens.fr/index.php/Programs_Chapter_3:_Density_matrices_and_path_integrals Density matrices and path integrals] computer code on SMAC-wiki.&lt;br /&gt;
*[http://www.deleramentum.net/codes/repimd/ A simple implementation of PIMD integrator (C++).]&lt;br /&gt;
[[Category: Monte Carlo]]&lt;br /&gt;
[[category: Quantum mechanics]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20308</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20308"/>
		<updated>2020-09-07T20:00:48Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: /* Open path integral CPMD */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{stub-general}}&lt;br /&gt;
The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Path-Integral CPMD==&lt;br /&gt;
The path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[[CP2K]] (computer simulation code)&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20307</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20307"/>
		<updated>2020-09-07T20:00:14Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: /* Open path integral CPMD */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{stub-general}}&lt;br /&gt;
The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Open path integral CPMD==&lt;br /&gt;
The open path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077 (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevE.93.043305 Christopher John, Thomas Spura, Scott Habershon, and Thomas D. Kühne &amp;quot;Quantum ring-polymer contraction method: Including nuclear quantum effects at no additional computational cost in comparison to ab initio molecular dynamics&amp;quot;, Physical Review E &#039;&#039;&#039;93&#039;&#039;&#039; pp. 043305 (2016)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[[CP2K]] (computer simulation code)&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20306</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20306"/>
		<updated>2020-09-07T19:57:34Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: Bug Fix&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{stub-general}}&lt;br /&gt;
The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1002/wcms.1176 T. D. Kühne &amp;quot;Second generation Car–Parrinello molecular dynamics&amp;quot;, WIREs Computational Molecular Science &#039;&#039;&#039;4&#039;&#039;&#039; pp. 391–406 (2014)]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.98.066401 T. D. Kühne, M. Krack, F. R. Mohamed and M. Parrinello &amp;quot;Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics&amp;quot;, Physical Review Letters &#039;&#039;&#039;98&#039;&#039;&#039; pp. 066401 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Open path integral CPMD==&lt;br /&gt;
The open path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077- (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471771 Mark E. Tuckerman, Dominik Marx, Michael L. Klein, and Michele Parrinello &amp;quot;Efficient and general algorithms for path integral Car–Parrinello molecular dynamics&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 5579- (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
*[[CP2K]] (computer simulation code)&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20305</id>
		<title>Car-Parrinello technique</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Car-Parrinello_technique&amp;diff=20305"/>
		<updated>2020-09-07T19:50:53Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: 2nd generation CPMD added&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{stub-general}}&lt;br /&gt;
The &#039;&#039;&#039;Car-Parrinello technique&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.55.2471 R. Car and M. Parrinello &amp;quot;Unified Approach for Molecular Dynamics and Density-Functional Theory&amp;quot;, Physical Review Letters &#039;&#039;&#039;55&#039;&#039;&#039; pp. 2471-2474 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines [[molecular dynamics]] with [[density-functional theory]].&lt;br /&gt;
==Second-Generation Car-Parrinello Molecular Dynamics==&lt;br /&gt;
The second-generation Car-Parrinello molecular dynamics (CPMD) method &lt;br /&gt;
&amp;lt;ref&amp;gt;{{&lt;br /&gt;
cite journal | title = Second generation Car–Parrinello molecular dynamics | volume = 4 | issue = 4 | year=2014 | pages = 391–406 | last1 = Kühne | first1 = Thomas D. | journal = WIREs Computational Molecular Science | doi=10.1002/wcms.1176 | arxiv = 1201.5945 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{&lt;br /&gt;
cite journal | title = Efficient and Accurate Car-Parrinello-like Approach to Born-Oppenheimer Molecular Dynamics | volume = 98 | issue = 6 | year=2007 | pages = 066401 | last1 = Kühne | first1 = Thomas D. | last2 = Krack | first2 = Matthias | last3 = Mohamed | first3 = Fawzi R. | last4 = Parrinello | first4 = Michele | journal = Physical Review Letters | doi=10.1103/PhysRevLett.98.066401 | arxiv = cond-mat/0610552 | pmid = 17358962 | bibcode = 2007PhRvL..98f6401K }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines the best of Born-Oppenheimer molecular dynamics and CPMD.&lt;br /&gt;
==Open path integral CPMD==&lt;br /&gt;
The open path-integral CPMD method &lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1007/BF01312185 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path-integral molecular dynamics&amp;quot;, Zeitschrift für Physik B Condensed Matter &#039;&#039;&#039;95&#039;&#039;&#039; pp. 143-144 (1994)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471221 Dominik Marx and Michele Parrinello &amp;quot;Ab initio path integral molecular dynamics: Basic ideas&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 4077- (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.471771 Mark E. Tuckerman, Dominik Marx, Michael L. Klein, and Michele Parrinello &amp;quot;Efficient and general algorithms for path integral Car–Parrinello molecular dynamics&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;104&#039;&#039;&#039; pp. 5579- (1996)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
combines Car-Parrinello molecular dynamics  within the [[path integral formulation]].&lt;br /&gt;
==See also==&lt;br /&gt;
*[[CPMD]] (computer simulation code)&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1080/00268976.2015.1024183 H. Löwen &amp;quot;History and perspective of the Car–Parrinello approach applied to classical systems&amp;quot;, Molecular Physics &#039;&#039;&#039;113&#039;&#039;&#039; pp. 2385-2386 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Researchers_and_research_groups&amp;diff=20304</id>
		<title>Researchers and research groups</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Researchers_and_research_groups&amp;diff=20304"/>
		<updated>2020-09-07T19:34:19Z</updated>

		<summary type="html">&lt;p&gt;95.116.127.139: /* Germany */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;==Argentina==&lt;br /&gt;
*[http://www.iflysib.unlp.edu.ar/?q=node/289 Grupo de Sistemas Complejos] (Ezequiel V. Albano&#039;s Lab) - IFLYSIB, La Plata&lt;br /&gt;
*[http://www.iflysib.unlp.edu.ar/?q=node/43 Grupo de Mecánica Estadística de Líquidos y Sistemas Desordenados]  IFLYSIB, La Plata&lt;br /&gt;
*[http://linux0.unsl.edu.ar/~fisica/superfi.htm Laboratorio de Ciencias de Superficies y Medios Porosos] (Dir. Dr. J. A. Zgrablich)  Universidad  Nacional  de San  Luis&lt;br /&gt;
*[http://www.tandar.cnea.gov.ar/~pastorin/ Claudio Pastorino] Comisión Nacional de Energía Atómica&lt;br /&gt;
&lt;br /&gt;
==Australia==&lt;br /&gt;
*[http://rsc.anu.edu.au/~evans/index.php Denis Evans] Australian National University&lt;br /&gt;
*[http://chem.sci.gu.edu.au/~s384166/d_bernhardt.html Debra J. Bernhardt (née Searles)] Griffith University&lt;br /&gt;
*[http://www.unisanet.unisa.edu.au/staff/PhilAttard/ Phil Attard] University of South Australia&lt;br /&gt;
*[http://web.maths.unsw.edu.au/~froyland/ Statistical Mechanics and Dynamical Systems Group] University of New South Wales&lt;br /&gt;
*[http://www.nanochemistry.curtin.edu.au/research/theoretical.cfm Nanochemistry Research Institute:  Theoretical and Computational] Curtin University of Technology&lt;br /&gt;
*[http://www.it.swin.edu.au/centres/cms/ Centre for Molecular Simulation] (Dir. Prof. Richard J. Sadus)  Swinburne University of Technology&lt;br /&gt;
*[http://www.rmit.edu.au/browse;ID=xono5nykwdrm The Condensed Matter Theory Group] RMIT (Royal Melbourne Institute of Technology) University&lt;br /&gt;
*[http://lattice.complex.unimelb.edu.au/home/ Nathan Clisby] University of Melbourne&lt;br /&gt;
*[http://www.gusgw.info/ Angus Gray-Weale&#039;s research group] University of Melbourne&lt;br /&gt;
&lt;br /&gt;
==Austria==&lt;br /&gt;
*[http://tph.tuwien.ac.at/smt/index.html Soft Matter Theory] Vienna University of Technology&lt;br /&gt;
*[http://comp-phys.univie.ac.at/research/computational-statistical-mechanics-c-dellago/ Computational Statistical Mechanics] (Dir.: Univ.-Prof. Mag. Dr. Christoph Dellago) Universität Wien&lt;br /&gt;
*[http://comp-phys.univie.ac.at/research/soft-matter-theory-simulation-cn-likos/ Soft Matter Theory &amp;amp;amp; Simulation] (Dir.: Univ.-Prof. Dipl.-Ing. Dr. Christos N. Likos) Universität Wien&lt;br /&gt;
*[http://comp-phys.univie.ac.at/research/molecular-simulation-and-haemodynamics-m-neumann/ Molecular Simulation and Haemodynamics] (Dir.: Ao. Univ.-Prof. Dr. Martin Neumann) Universität Wien&lt;br /&gt;
*[http://comp-phys.univie.ac.at/research/non-equilibrium-statistical-mechanics-and-fluid-dynamics-h-posch/ Non-equilibrium Statistical Mechanics and Fluid Dynamics] (Dir.: Ao. Univ.-Prof. i.R. Dr. Harald Posch) Universität Wien&lt;br /&gt;
*[http://comp-phys.univie.ac.at/research/liquid-crystals-and-robotics-f-vesely/ Liquid Crystals and Robotics] (Dir.: Ao. Univ.-Prof. i.R. Dr. Franz Vesely) Universität Wien&lt;br /&gt;
&lt;br /&gt;
==Belgium==&lt;br /&gt;
*[http://www.ulb.ac.be/sciences/polphy/ Laboratoire de Physique des Polymères] Université Libre de Bruxelles&lt;br /&gt;
*[http://www.grasp.ulg.ac.be/ Group for Research and Applications in Statistical Physics (GRASP)] Université de Liège&lt;br /&gt;
*[http://www.ulb.ac.be/rech/inventaire/unites/ULB658.html Laboratoire de Physique de la Matière molle (LPMM)] Université Libre de Bruxelles&lt;br /&gt;
*[http://itf.fys.kuleuven.be/~christ/ Institute for Theoretical Physics] University of Leuven&lt;br /&gt;
&lt;br /&gt;
==Brazil==&lt;br /&gt;
*[http://www.cbpf.br/GrupPesq/StatisticalPhys/ Group of Statistical Physics] Centro Brasileiro de Pesquisas Físicas&lt;br /&gt;
*[http://www.if.ufrgs.br/fcomplex/ Complex Fluids] Universidade Federal do Rio Grande do Sul&lt;br /&gt;
*[http://fge.if.usp.br/~vera/ Vera Bohomoletz Henriques] Universidade de São Paulo&lt;br /&gt;
*[http://www.fisica.ufmg.br/DF/CORPO_DOCENTE/dados/dickman.html Ronald Dickman] Universidade Federal de Minas Gerais&lt;br /&gt;
&lt;br /&gt;
==Canada==&lt;br /&gt;
*[http://www.physics.uoguelph.ca/~des/ Research on Liquid Crystals and Complex Fluids] (Dir.Don Sullivan)  University of Guelph&lt;br /&gt;
*[http://mse.mcmaster.ca/faculty/johari/ Gyan Johari] McMaster University&lt;br /&gt;
*[http://www.pmc.umontreal.ca/~mousseau/site_an/index.php?n=Main.Welcome Normand Mousseau] Université de Montréal&lt;br /&gt;
*[http://www.apmaths.uwo.ca/~mkarttu/ SoftSimu: The Karttunen group] University of Western Ontario &lt;br /&gt;
*[http://www.theory.chem.uwo.ca/ Styliani Constas] University of Western Ontario &lt;br /&gt;
*[http://publish.uwo.ca/~mmuser/index.html Computational Materials Physics] (Dir. Dr. Martin H. Müser)  University of Western Ontario &lt;br /&gt;
*[http://www.chem.queensu.ca/people/faculty/cann/ Natalie M. Cann]  Queen&#039;s University, Kingston, Ontario&lt;br /&gt;
*[http://www.chem.utoronto.ca/staff/JMS/schofield_j.html Jeremy Schofield] University of Toronto&lt;br /&gt;
*[http://www.chem.utoronto.ca/~swhittin/ Stu Whittington - Chemical Physics Theory Group] University of Toronto&lt;br /&gt;
*[http://physics.sfu.ca/people/profiles/plischke Michael Plischke] Simon Fraser University, Burnaby, British Columbia&lt;br /&gt;
*[http://www.sfu.ca/~boal/ Dave Boal] Simon Fraser University, Burnaby, British Columbia&lt;br /&gt;
*[http://homepages.ucalgary.ca/~pkusalik/ Kusalik Research Group] University of Calgary&lt;br /&gt;
*[http://poole.stfx.ca/ Peter H. Poole] St. Francis Xavier University&lt;br /&gt;
*[http://www.chem.ubc.ca/personnel/faculty/patey/index.shtml Professor Gren N. Patey] University of British Columbia&lt;br /&gt;
*[http://www.uoguelph.ca/~bilsmith William R. Smith]Molecular Simulation in Chemistry and Chemical Engineering (University of Guelph)&lt;br /&gt;
&lt;br /&gt;
==China==&lt;br /&gt;
*[http://www.zhuzit.edu.cn/en/edu_res/units.asp Dr. Zhou Shiqi, Modern Statistic Mechanics Research Institute] Hunan University of Technology&lt;br /&gt;
*[http://physics.ust.hk/yilong/index.htm Yilong Han] Hong Kong University of Science and Technology&lt;br /&gt;
*[https://www.lu-group.info/en/ Soft Matter &amp;amp; Molecular Simulations] (Dir. Prof. Zhong-Yuan Lu) Jilin University&lt;br /&gt;
*[https://order.sjtu.edu.cn/ Hua Tong] Shanghai Jiao Tong University&lt;br /&gt;
&lt;br /&gt;
==Czech Republic==&lt;br /&gt;
*[http://chemistry.ujep.cz/29-prof-rndr-ivo-nezbeda-drsc Ivo Nezbeda] Univerzita J. E. Purkyně v Ústí nad Labem&lt;br /&gt;
*[http://www.vscht.cz/fch/en/research/theory.html Department of Physical Chemistry: Theory] (Dir.: Anatol Malijevsky) Prague Institute of Chemical Technology&lt;br /&gt;
*[http://www.icpf.cas.cz/ehlt/ehlt.aspx E. Hala Laboratory of Thermodynamics] 	Institute of Chemical Process Fundamentals ASCR, v.v.i.&lt;br /&gt;
&lt;br /&gt;
==Denmark==&lt;br /&gt;
*[http://www.mip.sdu.dk/~jperram/ John Perram] University of Southern Denmark&lt;br /&gt;
*[http://glass.ruc.dk/ &amp;quot;Glass and Time&amp;quot;] DNRF Centre for Viscous Liquid Dynamics, Roskilde University, Denmark&lt;br /&gt;
==Finland==&lt;br /&gt;
*[http://www.tut.fi/index.cfm?MainSel=10775&amp;amp;Sel=13664&amp;amp;Show=17479&amp;amp;siteid=119 Biological Physics and Soft Matter Group] (Dir. Prof. Ilpo Vattulainen)  Tampere University of Technology&lt;br /&gt;
*[http://tfy.tkk.fi/soft/ Computational Soft Matter Research Group] (Dir. Dr. Emppu Salonen) Aalto University School of Science and Technology&lt;br /&gt;
&lt;br /&gt;
==France==&lt;br /&gt;
*[http://www.lcp.u-psud.fr/ Laboratoire de Chimie Physique] CNRS/Université Paris-Sud&lt;br /&gt;
*[http://www.lps.ens.fr/ Laboratoire de physique statistique] (Dir. Eric Perez) Ecole Normale Superieure&lt;br /&gt;
*[http://www.lptl.jussieu.fr/en/ Laboratoire de Physique Théorique de la Matière Condensée] (Dir. Pascal Viot) Université Pierre et Marie Curie/CNRS&lt;br /&gt;
*[http://www.msc.univ-paris7.fr/site/index.html Matière et Systèmes Complexes] (Dir.: Jean-Marc di Meglio) Université Paris 7 - Denis Diderot&lt;br /&gt;
*[http://w3.lcvn.univ-montp2.fr/~kob/ Walter Kob]  Universite Montpellier II&lt;br /&gt;
*[http://www.th.u-psud.fr/rubrique.php3?id_rubrique=8 Groupe de physique statistique] Laboratoire de Physique Théorique d&#039;Orsay, CNRS et de l&#039;Université Paris-Sud 11&lt;br /&gt;
*[http://www.lpm.u-nancy.fr/activite_physique_statistique/index.php?lang=en_GB  Groupe de Physique Statistique ], Institut Jean Lamour, Nancy Université&lt;br /&gt;
*[http://lfc.univ-pau.fr/live/Membres-equipe/fiche-bio/fiche-galliero Dr. Guillaume Galliero] Université de Pau et des Pays de l&#039;Adour&lt;br /&gt;
*[http://lptms.u-psud.fr/index.php/ Laboratoire de Physique Théorique et Modèles Statistiques] (Dir. Marc Mézard) Université Paris-Sud&lt;br /&gt;
*[http://tim.univ-bpclermont.fr/il/ Molecular Thermodynamics of Ionic Liquids] Université Blaise Pascal&lt;br /&gt;
&lt;br /&gt;
==Germany==&lt;br /&gt;
*[http://www.upb.de/dcm Dynamics of Condensed Matter - Chair of Theoretical Chemistry] (Dir: Prof. Dr. Thomas D. Kühne) University of Paderborn&lt;br /&gt;
*[http://www.cond-mat.physik.uni-mainz.de/ Condensed Matter Theory Group KOMET 331] (Dir: Kurt Binder) Johannes Gutenberg-University, Mainz&lt;br /&gt;
*[http://www.icp.uni-stuttgart.de/ Institute for Computational Physics] (Dir: Christian Holm) Stuttgart University&lt;br /&gt;
*[http://www.mpip-mainz.mpg.de/theory/ Polymer Theory Group Prof. Dr. Kurt Kremer] Max Planck Institute for Polymer Research, Mainz&lt;br /&gt;
*[http://www.theorie.physik.uni-goettingen.de/forschung/mm/index.en.html Marcus Müller&#039;s research group] Georg-August-Universität Göttingen&lt;br /&gt;
*[http://www.physik.uni-bielefeld.de/theory/cm/ Condensed Matter Theory Group] Universität Bielefeld&lt;br /&gt;
*[http://www.staff.uni-marburg.de/~germano/ Computer Simulation Group] Philipps-Universität Marburg&lt;br /&gt;
*[http://constanze.materials.uni-wuppertal.de/ Dr. R. Hentschke]  Universität Wuppertal&lt;br /&gt;
*[http://van-der-waals.pc.uni-koeln.de/persons/kraskaE.html  Dr. Thomas Kraska] Universität zu Köln&lt;br /&gt;
*[http://www.uni-koeln.de/math-nat-fak/phchem/deiters/index.html Statistische Thermodynamik] (Dir. Prof. Dr. Deiters) Universität zu Köln&lt;br /&gt;
*[http://www2.tu-berlin.de/%7Einsi/ag_schoen/people/profile/klapp/welcome.html Emmy-Noether research group:  Complex fluids in external fields] (Dir. Dr. Sabine H. L. Klapp) Stranski-Laboratorium für Physikalische und Theoretische Chemie&lt;br /&gt;
*[http://theorie.physik.uni-konstanz.de/lsfuchs/ Soft Matter Theory Group] (Dir. Prof. Dr. Matthias Fuchs) Universität Konstanz&lt;br /&gt;
*[http://www.theo.chemie.tu-darmstadt.de/front/joomla/ Theoretical Physical Chemistry Group] (Dir.: Dr. Florian Müller-Plathe) Technische Universität Darmstadt&lt;br /&gt;
*[http://ganter.chemie.uni-dortmund.de/index.shtml  The Simulation and Theory Group] (Dir.: Prof. Dr. Alfons Geiger)  Universität Dortmund&lt;br /&gt;
*[http://thwww.chemietechnik.uni-dortmund.de/en/textonly/content/staff/head/Sadowski.html Prof. Dr. Gabriele Sadowski] Universität Dortmund&lt;br /&gt;
*[http://agknapp.chemie.fu-berlin.de/agknapp/ Macromolecular Modelling Group] (Dir.: Ernst-Walter Knapp) Freie Universität Berlin&lt;br /&gt;
*[http://top10.physik.uni-freiburg.de/AbtBlumen/ Theoretical Polymer Physics] (Dir. Prof. Dr. Alexander Blumen) Albert-Ludwigs-Universität Freiburg&lt;br /&gt;
*[http://www.mf.mpg.de/mpg/websiteMetallforschung/english/instForschungsthemen/instForschungsgruppen/abteilung6/ Theory of inhomogeneous Condensed Matter] (Dir.  Prof. Dr. Siegfried Dietrich) Max Planck Institute for Metals Research, Stuttgart&lt;br /&gt;
*[http://www2.thphy.uni-duesseldorf.de/~hlowen/ Prof. Dr. Hartmut Löwen] Heinrich-Heine-Universität Düsseldorf&lt;br /&gt;
*[http://www2.thphy.uni-duesseldorf.de/ Theoretical Physics II: Soft Matter] Heinrich-Heine-Universit&amp;amp;auml;t D&amp;amp;uuml;sseldorf&lt;br /&gt;
*[http://www.theochem.ruhr-uni-bochum.de/research/marx/index.en.html Dominik Marx Group] Ruhr-Universitaet Bochum&lt;br /&gt;
*[http://www-dick.chemie.uni-regensburg.de/group/stephan_baeurle/ Theory &amp;amp; Computation of Advanced Materials and Sensors] (Dir. Dr. Stephan A. Baeurle) Universität Regensburg&lt;br /&gt;
*[http://www.mss.cbi.uni-erlangen.de/ Institute for Multiscale Simulation] (Dir. Prof. Dr. Thorsten Pöschel) Friedrich-Alexander-Universität Erlangen-Nürnberg&lt;br /&gt;
*[http://www.mmm-tools.de Martin O. Steinhauser, Fraunhofer Research Group Shock Waves in Soft Biological Matter] Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut, EMI, Freiburg&lt;br /&gt;
*[http://www.physik.uni-leipzig.de/cqt.html Abteilung Computerorientierte Quantenfeldtheorie (CQT)] (Prof. Dr. Wolfhard Janke) Institut für Theoretische Physik, Universität Leipzig&lt;br /&gt;
*[http://www.uni-leipzig.de/~quant/index_en.php Kirchner Research Group] Wilhelm Ostwald Institute for Physical and Theoretical Chemistry, University of Leipzig&lt;br /&gt;
*[http://www.raolab.com/index.html raolab] (Dir. Francesco Rao) Freiburg Institute for Advanced Studies&lt;br /&gt;
*[http://users.physik.fu-berlin.de/~kleinert/kleinert/ Hagen Kleinert] Freie Universität Berlin&lt;br /&gt;
*[http://www.mi.uni-hamburg.de/Theoretische.6.0.html Theoretical Meteorology] University of Hamburg&lt;br /&gt;
*[http://thet.uni-paderborn.de/en/home-thet/ Thermodynamics and Energy Technology] (Director: [http://thet.uni-paderborn.de/en/staff/jadran-vrabec/ Jadran Vrabec]) Universität Paderborn&lt;br /&gt;
*[http://www.cpc.tu-darmstadt.de/cpc/index.en.jsp Computational Physical Chemisty Group] (Dir: Prof. Nico van der Vegt) Technische Universität Darmstadt&lt;br /&gt;
&lt;br /&gt;
==Greece==&lt;br /&gt;
*[http://www.mtmml.gr/default.aspx Molecular Thermodynamics and Modeling of Materials Laboratory] National Research Center for Physical Sciences &amp;quot;Demokritos&amp;quot;&lt;br /&gt;
*[http://www.matersci.upatras.gr/SoftMat/ Soft Matter Theory and Simulations Group] University of Patras&lt;br /&gt;
*[http://jupiter.chem.uoa.gr/pchem/lab/research.html Molecular Simulations &amp;amp; Statistical Mechanics research group] (Prof.  Jannis Samios) National &amp;amp; Kapodistrian University of Athens, Chemistry Dept.&lt;br /&gt;
*[http://comse.chemeng.ntua.gr/dntpage.htm Computational Materials Science &amp;amp; Engineering Group] (Prof. Doros N. Theodorou) National Technical University of Athens, Chemical Engineering Dept.&lt;br /&gt;
*[http://lstm.chemeng.upatras.gr/ Laboratory of Statistical Mechanics &amp;amp; Macromolecules] (Assoc. Prof. Vlasis Mavrantzas) University of Patras, Chemical Engineering Dept.&lt;br /&gt;
*[http://users.auth.gr/~kkaratas/research.html Simulation of Polymeric Colloids and Solutions] (Assist. Prof. Konstantinos Karatasos) Aristotle University of Thessaloniki, Chemical Engineering Dept.&lt;br /&gt;
*[http://www.eie.gr/nhrf/institutes/tpci/cvs/cv-vegiri-en.html Institute of Theoretical &amp;amp; Physical Chemistry] (Dr Alice Vegiri) National Hellenic Research Foundation&lt;br /&gt;
*[http://www.uoi.gr/schools/chemistry/index.files/en/index.files/Page2116.htm Analytical Statistical Mechanical Theories] (Prof. Marios Kosmas) University of Ioannina, Chemistry Dept.&lt;br /&gt;
*[http://www.chem.uoi.gr/en/node/109/ Polymer Simulation Group] (Assist. Prof. Costas Vlahos) University of Ioannina, Chemistry Dept.&lt;br /&gt;
&lt;br /&gt;
==Hungary==&lt;br /&gt;
*[http://www.chem.elte.hu/departments/elmkem/baranyai/index.htm András Baranyai] Eötvös Loránd University&lt;br /&gt;
*[http://www.chem.elte.hu/departments/kolloid/personnel/jp/ Pál Jedlovszky] Eötvös Loránd University&lt;br /&gt;
*[http://www.chem.elte.hu/departments/elmkem/toth/ Gergely Tóth] Eötvös University&lt;br /&gt;
&lt;br /&gt;
==India==&lt;br /&gt;
*[http://www.iith.ac.in/~bhabani/ Bhabani S. Mallik, Computational Chemistry] Indian Institute of Technology Hyderabad&lt;br /&gt;
*[http://www.iitk.ac.in/phy/New01/phy_CMT.html Condensed  Matter  Theory  Group] Indian Institute of Technology (Kanpur)&lt;br /&gt;
*[http://home.iitk.ac.in/~amalen/ Prof Amalendu Chandra] Indian Institute of Technology (Kanpur)&lt;br /&gt;
*[http://home.iitk.ac.in/~jayantks/ Jayant K Singh, Computational Nanoscience Laboratory] Indian Institute of Technology (Kanpur)&lt;br /&gt;
*[https://sites.google.com/site/upendranatarajan/ Prof Upendra Natarajan, Macromolecular Modeling &amp;amp; Simulation Lab] Indian Institute of Technology Madras (Chennai)&lt;br /&gt;
*[http://www.kaustubhrane.com/research/ Kaustubh Rane] Indian Institute of Technology (Gandhinagar)&lt;br /&gt;
*[http://www.physics.iitm.ac.in/%7Elabs/cfl/index.html Complex Fluids Laboratory] Indian Institute of Technology (Madras)&lt;br /&gt;
*[http://www.physics.iitm.ac.in/%7Elabs/dynamical/index.html Theoretical Physics Group] Indian Institute of Technology (Madras)&lt;br /&gt;
*[http://biotech.iitm.ac.in/Faculty/Sanjib_lab/index.html Computational Biophysics Group] Indian Institute of Technology (Madras)&lt;br /&gt;
*[http://web.iitd.ac.in/~charus/ Professor Charusita Chakravarty] Indian Institute of Technology (Delhi)&lt;br /&gt;
*[http://www.bhu.ac.in/science/faculty/Department_of_Physics_Dr_S_Singh.htm Dr. Shri Singh] Banaras Hindu University&lt;br /&gt;
*[http://www.physics.iisc.ernet.in/~maiti/ Prabal K. Maiti] Indian Institute of Science (Bangalore)&lt;br /&gt;
*[http://www.cfpegroup.net/ Complex fluids and Polymer Engineering Group] National Chemical Laboratory (Pune)&lt;br /&gt;
&lt;br /&gt;
==Iran==&lt;br /&gt;
*[http://sharif.edu/~parsafar/parsafar.htm Theoretical and Computational Physical Chemistry Group] (Dir. Prof. Gholam Abbas Parsafar) Sharif University of Technology &lt;br /&gt;
*[http://softmatter.cscm.ir/index.htm Soft Condensed Matter Group] (Dir. Dr. M. Reza Ejtehadi) Sharif University of Technology&lt;br /&gt;
*[http://alum.sharif.ir/~mohsensadeghi/ Mohsen Sadeghi] Sharif University of Technology&lt;br /&gt;
*[http://chemeng.aut.ac.ir/autcms/people/verticalPagesAjax/professorHomePage.htm?url=hmodares&amp;amp;depurl=chemical-engineering&amp;amp;lang=fa&amp;amp;cid=21961 Prof. Hamid Modarress] Amirkabir University of technology (Tehran Polytechnic)&lt;br /&gt;
*[http://www.iust.ac.ir/page.php?slct_pg_id=8982&amp;amp;sid=15&amp;amp;slc_lang=en Thermodynamics Research Laboratory] (Dir. Farzaneh Feyzi) Iran University of Science and Technology&lt;br /&gt;
*[http://chemistry.iust.ac.ir/page.php?slct_pg_id=3696&amp;amp;sid=20&amp;amp;slc_lang=en Molecular Simulation Research Laboratory] (Dr. Seyed Majid Hashemianzadeh) Iran University of Science &amp;amp; Technology&lt;br /&gt;
&lt;br /&gt;
==Ireland==&lt;br /&gt;
*[http://acam.ie/ ACAM (Atlantic Centre for Atomistic Modeling)] &lt;br /&gt;
==Israel==&lt;br /&gt;
*[http://www.ariehbennaim.com/ Prof.  Arieh Ben-naim] Hebrew University of Jerusalem&lt;br /&gt;
*[http://www.fh.huji.ac.il/~viki/ Professor Victoria Buch] Hebrew University of Jerusalem&lt;br /&gt;
*[http://www.fh.huji.ac.il/~daniel/index.html Daniel Harries Group] Hebrew University of Jerusalem&lt;br /&gt;
*[http://www.fh.huji.ac.il/ Fritz Haber Center for Molecular Dynamics] Hebrew University of Jerusalem&lt;br /&gt;
*[http://phycomp.technion.ac.il/ Computational Physics Group] (Dir. Dr. Joan Adler) Israel Institute of Technology&lt;br /&gt;
*[http://www.weizmann.ac.il/fluids/Safran/ Physics of Soft Matter and Biomaterials: Theory] (Dir. Professor Samuel Safran) Weizmann Institute of Science&lt;br /&gt;
*[http://www.eng.tau.ac.il/~shokef/index.html Non-Equilibrium Statistical Mechanics of Soft Matter] (Dir. Yair Shokef) Tel-Aviv University&lt;br /&gt;
&lt;br /&gt;
==Italy==&lt;br /&gt;
*[http://www2.fci.unibo.it/~bebo/z/index.html Claudio Zannoni home page] Università di Bologna&lt;br /&gt;
*[http://abaddon.phys.uniroma1.it/ GCI Computational Physics Group] (Dir. Giovanni Ciccotti) Universita’ di Roma La Sapienza&lt;br /&gt;
*[http://glass.phys.uniroma1.it/sciortino/index.html Francesco Sciortino] Universita’ di Roma La Sapienza&lt;br /&gt;
*[http://www.ictp.it/pages/research/cmsp.html CMSP - Condensed Matter and Statistical Physics at ICTP] Trieste&lt;br /&gt;
*[http://www.pv.infn.it/~romano/ Silvano Romano]  Pavia&lt;br /&gt;
*[http://www.unive.it/nqcontent.cfm?a_id=36652&amp;amp;persona=000244 Domenico Gazzillo] Università Ca&#039; Foscari Venezia&lt;br /&gt;
*[http://venus.unive.it/achille/Venus/Welcome.html Achille Giacometti] Università Ca&#039; Foscari Venezia&lt;br /&gt;
*[http://www.sissa.it/sbp/web_2008/index.html  Statistical and Biological Chemistry Sector] Scuola Internazionale Superiore di Studi Avanzati (SISSA)&lt;br /&gt;
*[http://ww2.unime.it/cdlfisica/magistrale/DoMag/GiPa/Giaq.htm Paolo Vittorio Giaquinta] Università degli Studi di Messina&lt;br /&gt;
*[http://www.math.rutgers.edu/~giovanni/ Giovanni Gallavotti] Universita&#039; di Roma La Sapienza&lt;br /&gt;
*[http://www.mi.infm.it/g1/ Statistical physics: fluids, superfluids and phase transitions] (Dir. Luciano Reatto) Istituto Nazionale per la Fisica della Materia (CNR - INFM)&lt;br /&gt;
*[http://www.molnac.unisa.it/ MoLNaC: Modeling Lab for Nanostructures and Catalysis] Università di Salerno&lt;br /&gt;
&lt;br /&gt;
==Japan==&lt;br /&gt;
*[http://theochem.chem.okayama-u.ac.jp/?lang=en Theoretical Chemistry Group] Okayama University&lt;br /&gt;
*[http://www.ifs.tohoku.ac.jp/tokuyama-lab/ Michio Tokuyama Laboratory] Tohoku University&lt;br /&gt;
*[http://www.px.tsukuba.ac.jp/home/tcm/miyazaki/miyazaki-E.html Miyazaki Group] University of Tsukuba&lt;br /&gt;
*[http://tanakalab.iis.u-tokyo.ac.jp/index.html Tanaka Lab] University of Tokyo&lt;br /&gt;
&lt;br /&gt;
==Mexico==&lt;br /&gt;
*[http://abaco.izt.uam.mx/research/liquidos/ Física de Líquidos] Universidad Autónoma Metropolitana&lt;br /&gt;
*[http://abaco.izt.uam.mx/research/estadistica/ti.html Mecánica Estadística] Universidad Autónoma Metropolitana&lt;br /&gt;
*[http://quimica.izt.uam.mx/pag.php?id=jra Jose Alejandre] Universidad Autónoma Metropolitana&lt;br /&gt;
*[http://www.ifug.ugto.mx/Investigacion/MecanicaEstadistica.php Mecánica Estadística] Universidad de Guanajuato&lt;br /&gt;
*[http://www.iquimica.unam.mx/index.php/departamentos/fisicoquimica/158 Orest Pizio] Universidad Nacional Autónoma de México&lt;br /&gt;
*[http://xml.cie.unam.mx/xml/tc/ft/mlh/ Mariano López de Haro]  Universidad Nacional Autónoma de México&lt;br /&gt;
&lt;br /&gt;
==Netherlands==&lt;br /&gt;
*[http://www1.phys.uu.nl/scm/default.htm Soft Condensed Matter Group] Utrecht University&lt;br /&gt;
*[http://fcc.chem.uu.nl/peopleindex/henk/henk.htm Henk N.W. Lekkerkerker] Debye Research Institute, Utrecht University&lt;br /&gt;
*[http://molsim.chem.uva.nl/index.html Computational Chemistry Group] Van &#039;t Hoff Institute for Molecular Sciences, University of Amsterdam&lt;br /&gt;
*[http://www.rug.nl/gbb/research/researchgroups/molecularDynamics/ Marrink&#039;s MD group] University of Groningen&lt;br /&gt;
*[http://www.msm.ctw.utwente.nl/ Multi-scale Mechanics Group (MSM)] (Prof. Dr. rer.-nat. Stefan Luding) University of Twente&lt;br /&gt;
*[http://www.amolf.nl/research/theory_of_biomolecular_matter/ Theory of Biomolecular Matter] (Dir. Prof. dr. Bela Mulder) FOM Institute for Atomic and Molecular Physics&lt;br /&gt;
*[http://www.acmm.nl/ Amsterdam Center for Multiscale Modeling (ACMM)]&lt;br /&gt;
*[http://delftpe.nl/Chairs/ETh Engineering Thermodynamics] (Dir. [http://homepage.tudelft.nl/v9k6y/ Prof.dr.ir. Thijs J.H. Vlugt]) Delft University of Technology&lt;br /&gt;
&lt;br /&gt;
==Norway==&lt;br /&gt;
*[http://home.phys.ntnu.no/instdef/personale/hjemmesider/johan.hoye/index.html Johan Skule Høye] Norwegian University of Science and Technology (NTNU)&lt;br /&gt;
==Poland==&lt;br /&gt;
*[http://ichfit.ch.pwr.wroc.pl/?q=node/10 Molecular Modelling and Quantum Chemistry] Wrocław University of Technology&lt;br /&gt;
*[http://poczta.umcs.lublin.pl/zmpfch/index_en.html Department for the Modelling of Physico-Chemical Processes] Maria Curie-Skłodowska University&lt;br /&gt;
*[http://ichf.edu.pl/person/ciach.html Professor Alina Ciach] Instytut Chemii Fizycznej, Polskiej Akademii Nauk&lt;br /&gt;
*[http://th-www.if.uj.edu.pl/zfs/ Statistical Physics Division] (Dir. Prof. Lech Longa) Uniwersytet Jagielloński&lt;br /&gt;
*[http://www.ifmpan.poznan.pl/zp10/zp10_www.htm Nonlinear Dynamics and Computer Simulations] (Dir. Prof. Dr. Habil. K. W.  Wojciechowski) Institute of Molecular Physics, Polish Academy of Sciences&lt;br /&gt;
&lt;br /&gt;
==Portugal==&lt;br /&gt;
*[http://cftc.cii.fc.ul.pt/index.php Centro de Física Teórica e Computacional] Universidade de Lisboa&lt;br /&gt;
*[http://webpages.fc.ul.pt/~pffaisca/index.html Protein folding Simulation &amp;amp; Theory] (Dir. Dr. Patrícia Faísca) Universidade de Lisboa&lt;br /&gt;
*[http://sweet.ua.pt/jfmendes/net.html Complex Systems &amp;amp; Random Networks] Universidade de Aveiro&lt;br /&gt;
*[http://web.ist.utl.pt/jnlopes/zenunoi/Welcome.html José Nuno Canongia Lopes] Instituto Superior Técnico, Universidade de Lisboa&lt;br /&gt;
*[https://sites.google.com/site/fernandojalcruz/Home Fernando J.A.L. Cruz] New University of Lisbon&lt;br /&gt;
&lt;br /&gt;
==Russia==&lt;br /&gt;
*[http://theor.jinr.ru/~kuzemsky/ Alexander L. Kuzemsky] Bogoliubov Laboratory of Theoretical Physics&lt;br /&gt;
*[http://www.ihed.ras.ru/norman  Атомистическое моделирование и теория конденсированного состояния и неидеальной плазмы] (Dir. Норман Генри Эдгарович) Институт теплофизики экстремальных состояний&lt;br /&gt;
&lt;br /&gt;
==Singapore==&lt;br /&gt;
*[http://www.ntu.edu.sg/home/r.ni Computational Soft Matter Group]  (Dr. Ran Ni) Nanyang Technological University&lt;br /&gt;
&lt;br /&gt;
==Slovenia==&lt;br /&gt;
*[http://softmatter.fmf.uni-lj.si/main.php Physics of Soft and Partially Ordered Matter: Theory and Simulation Group] (Dir. Professor Slobodan Žumer) Univerza v Ljubljani&lt;br /&gt;
==Spain==&lt;br /&gt;
*[http://www.smcm.iqfr.csic.es/  Statistical Mechanics &amp;amp; Condensed Matter] (Dir. Enrique Lomba García) Instituto de Química-Física &amp;quot;Rocasolano&amp;quot; (IQFR), CSIC&lt;br /&gt;
*[http://www.icmm.csic.es/Teoria/ Condensed Matter Theory] Instituto de Ciencia de Materiales de Madrid (ICMM), CSIC&lt;br /&gt;
*[http://catalan.quim.ucm.es/ Statistical Thermodynamics of Molecular Fluids Group] (Dir. Carlos Vega) Universidad Complutense de Madrid&lt;br /&gt;
*[http://cacharro.quim.ucm.es/ Prof. J. L. F. Abascal] Universidad Complutense de Madrid&lt;br /&gt;
*[http://seneca.fis.ucm.es/ Group of Statistical Mechanics (GISC)] Universidad Complutense de Madrid&lt;br /&gt;
*[http://filico.dfa.uhu.es/ FILICO Physics of Complex Liquids Group] (Dir.  Dr. Felipe J. Blas) Universidad de Huelva&lt;br /&gt;
*[http://gisc.uc3m.es/~cuesta/Science/scientific.html Scientific page of José A. Cuesta] Universidad Carlos III de Madrid&lt;br /&gt;
*[http://valbuena.fis.ucm.es/gisc/ Grupo Interdisciplinar de Sistemas Complejos] (GISC)&lt;br /&gt;
*[http://www.modelico.es/ MODELICO-CM] Modelling and Simulation of Complex Systems (Madrid)&lt;br /&gt;
*[http://www.uam.es/departamentos/ciencias/fisicateoricamateria/propia/fluidos.html Investigación en física estadística de líquidos complejos y biofísica] Universidad Autónoma de Madrid&lt;br /&gt;
*[http://www.uam.es/personal_pdi/ciencias/dduque/ Daniel Duque] Universidad Autónoma de Madrid&lt;br /&gt;
*[http://www.uam.es/personal_pdi/ciencias/gnavascu/ Guillermo Navascués] Universidad Autónoma de Madrid&lt;br /&gt;
*[http://www.uam.es/personal_pdi/ciencias/evelasco/ Enrique Velasco] Universidad Autónoma de Madrid&lt;br /&gt;
*[http://www.uned.es/dpto-fisicoquimica/personas/luis.htm Luis M. Sesé Sánchez] Universidad Nacional de Educación a Distancia (UNED)&lt;br /&gt;
*[http://friedel.uned.es/index.html Simulation of Chain Molecules, Nanostructures and Polymers Group] (Dir. Juan J. Freire) Universidad Nacional de Educación a Distancia (UNED)&lt;br /&gt;
*[https://sites.google.com/site/pepespanol/home Pep Español] Universidad Nacional de Educación a Distancia (UNED)&lt;br /&gt;
*[http://oboe.quim.ucm.es/ Simulation of Chain Molecules] Universidad Complutense de Madrid&lt;br /&gt;
*[http://www.upo.es/depa/webdex/quimfis/slagara/slagara.htm Santiago Lago Aranda] Universidad Pablo De Olavide&lt;br /&gt;
*[http://www.upo.es/raspa/index.php Grupo de Materiales Nanoestructurados, Nanoestructuras, Aplicaciones Tecnologicas] (Dir. Dr. Sofia Calero) Universidad Pablo De Olavide&lt;br /&gt;
*[http://www.grupo.us.es/gmecest/ Group of Statistical Mechanics] University of Seville&lt;br /&gt;
*[http://www.icmab.es/molsim/ Lourdes F. Vega Molecular Simulation Group] Instituto de Ciencia de Materiales de Barcelona (ICMAB), CSIC&lt;br /&gt;
*[http://grupos.unican.es/GTFE/ Grupo de Termodinámica y Física Estadística] Universidad de Cantabria&lt;br /&gt;
*[http://www.ifca.unican.es/users/fises/index.html Statistical and Nonlinear Physics Group] Instituto de Física de Cantabria&lt;br /&gt;
*[http://simcon.upc.edu/ Computer Simulation in Condensed Matter Group SIMCON]  Universitat Politècnica de Catalunya&lt;br /&gt;
*[http://www-fen.upc.es/cscmcs/index.html Complex Systems. Computer Simulation of Materials and Biological Systems]  Universitat Politècnica de Catalunya&lt;br /&gt;
*[http://web.ffn.ub.es/node/6&amp;amp;id=1061 Grupo de Física Estadística] Universitat de Barcelona&lt;br /&gt;
*[http://complex.ffn.ub.es/ Physics of Complex Systems Group] Universitat de Barcelona&lt;br /&gt;
*[http://www.ffn.ub.es/gfranzese/Home.html Giancarlo Franzese’s Group] Universitat de Barcelona&lt;br /&gt;
*[http://www1.unex.es/fisteor/ Grupo de Física Estadística de la UEx (SPhinX)] University of Extremadura&lt;br /&gt;
*[http://www.ual.es/GruposInv/FQM-230/componentes/jcaballe.htm José Baldomero Caballero Moraleda]  Universidad de Almería&lt;br /&gt;
*[http://www.ual.es/GruposInv/FQM-230/home_nestcape_e.htm Group of Complex Fluids] Universidad de Almería&lt;br /&gt;
*[http://ergodic.ugr.es/ Statistical Physics Group] University of Granada&lt;br /&gt;
*[http://www.etseq.urv.es/COMPLEX/index_cs.htm Complex Systems] (Dir.: Allan Mackie) Universitat Rovira i Virgili&lt;br /&gt;
*[http://grupo.us.es/gfqm205/index.htm Grupo de Física Estadística de Líquidos] Universidad de Sevilla&lt;br /&gt;
*[http://personal.us.es/enrome/index.htm José Manuel Romero Enrique] Universidad de Sevilla&lt;br /&gt;
*[http://zcam.bifi.es/index.php ZCAM] Zaragoza Scientific Center for Advanced Modeling&lt;br /&gt;
*[http://smmb.usc.sitew.com/ Soft Matter and Molecular Biophysics Group] Universidad de Santiago de Compostela&lt;br /&gt;
*[http://ifisc.uib-csic.es/~joan/ Joan Josep Cerdà‬] Institute for Cross-Disciplinary Physics and Complex Systems&lt;br /&gt;
*[http://www.bcamath.org/public_research/ctrl_research.php?accion=MBMS&amp;amp;vista=general Mathematical Biology &amp;amp; Molecular Simulation group] Basque Center for Applied Mathematics&lt;br /&gt;
*[http://rilopezruiz1.wordpress.com/ Ricardo López-Ruiz] Universidad de Zaragoza&lt;br /&gt;
*[http://nano-bio.ehu.es/users/alejandro Dr. Alejandro Perez Paz] European Theoretical Spectroscopy Facility&lt;br /&gt;
&lt;br /&gt;
==Sweden==&lt;br /&gt;
*[http://folding.bmc.uu.se/ David van der Spoel] Uppsala University&lt;br /&gt;
*[http://xray.bmc.uu.se/~aqwww/  Åqvist group] Uppsala University&lt;br /&gt;
*[http://www.fos.su.se/page.php?pid=155&amp;amp;id=407 Alexander Lyubartsev] Stockholms universitet&lt;br /&gt;
*[http://www.nada.kth.se/~mik/ Mikhail Dzugutov] Royal Institute of Technology (KTH)&lt;br /&gt;
*[http://www2.chem.gu.se/~rkj/ Roland Kjellander] Göteborg University&lt;br /&gt;
*[http://www.physchem.lu.se/research/theo_work/ Theoretical work - Statistical mechanics] Lund University&lt;br /&gt;
*[http://www.chalmers.se/ee/SV/personal/nilsson-jacobi-martin Martin Nilsson Jacobi] Chalmers tekniska h&amp;amp;#246;gskola&lt;br /&gt;
&lt;br /&gt;
==Switzerland==&lt;br /&gt;
*[http://www.igc.ethz.ch/ The van Gunsteren group&#039;s home page] ETH Hönggerberg&lt;br /&gt;
*[http://www.csms.ethz.ch/index Computer Simulation of Molecular Systems] (Dir.: Dr P. H. Hünenberger) ETH Hönggerberg&lt;br /&gt;
*[http://www.rgp.ethz.ch/ Professor Michele Parrinello&#039;s Research Group] ETH Zurich (Swiss Federal Institute of Technology Zurich)&lt;br /&gt;
*[http://www.chemie.unibas.ch/~huber/index.html Prof. Dr. Hanspeter Huber] University of Basel&lt;br /&gt;
*[https://www.cecam.org/ CECAM] Centre Européen de Calcul Atomique et Moléculaire, Lausanne, Switzerland&lt;br /&gt;
&lt;br /&gt;
==Taiwan==&lt;br /&gt;
*[http://www.phys.sinica.edu.tw/~polyphys/index.html Polymer Physics and Complex Fluids Group] (Dir. Yeng-Long Chen) Academia Sinica&lt;br /&gt;
==Turkey==&lt;br /&gt;
*[http://asp.selcuk.edu.tr/asp/personel/web/goster.asp?sicil=3292 Mustafa Koyuncu] Selçuk Üniversitesi&lt;br /&gt;
==Ukraine==&lt;br /&gt;
*[http://www.icmp.lviv.ua/en/content/department-statistical-theory-condensed-systems Department for Statistical Theory of Condensed Systems] (Dir.: Professor Mykhailo Pavlovych Kozlovskii) National Academy of Sciences of Ukraine&lt;br /&gt;
*[http://www.icmp.lviv.ua/en/content/department-theory-solutions Department for Theory of Solutions] (Dir.: Prof. Myroslav Holovko) National Academy of Sciences of Ukraine&lt;br /&gt;
*[http://www.icmp.lviv.ua/en/content/department-computer-simulations-many-particle-systems Department for Computer Simulations of Many-Particle Systems] (Dir.: Taras Bryk) National Academy of Sciences of Ukraine&lt;br /&gt;
&lt;br /&gt;
==United Kingdom==&lt;br /&gt;
*[http://www.md-net.org.uk/ MD network]&lt;br /&gt;
*[http://www.dur.ac.uk/mark.wilson/ The Wilson Group] Durham University&lt;br /&gt;
*[http://cmt.dur.ac.uk/ Condensed Matter Theory] (Dir.: Professor Richard Abram) University of Durham&lt;br /&gt;
*[https://sites.google.com/site/kusumaatmaja/home Simulations of Soft Matter] (Dir.: Dr Halim Kusumaatmaja) University of Durham&lt;br /&gt;
*[http://www.shu.ac.uk/research/meri/mmg/ Materials Modelling group] Sheffield Hallam University&lt;br /&gt;
*[http://www2.warwick.ac.uk/fac/sci/physics/theory/research/simulation/ Molecular Simulation Group] (Dir.: Dr. M. Allen) University of Warwick&lt;br /&gt;
*[http://www2.warwick.ac.uk/fac/sci/chemistry/research/computationalchemistry/ Theory &amp;amp; Computational Chemistry @ Warwick Chemistry] University of Warwick&lt;br /&gt;
*[http://personalpages.manchester.ac.uk/staff/henchman/ Dr Richard Henchman] University of Manchester&lt;br /&gt;
*[http://theory.physics.manchester.ac.uk/~cssp/index.html Complex Systems and Statistical Physics Group]  University of Manchester&lt;br /&gt;
*[http://www.ceas.manchester.ac.uk/research/groups/molecular-modelling/ Molecular Modelling, Simulation and Design] University of Manchester&lt;br /&gt;
*[http://www.sci-eng.mmu.ac.uk/facstaffdetails/mneal/default.htm Maureen P. Neal] Manchester Metropolitan University&lt;br /&gt;
*[http://molecularsystemsengineering.org/index.html     Molecular Systems Engineerinhg]  Imperial College London&lt;br /&gt;
*[http://www.imperial.ac.uk/chemical-engineering/research/research-themes/thermodynamics/ Multi-scale thermodynamics and molecular systems] Imperial College London&lt;br /&gt;
*[https://www.imperial.ac.uk/people/f.bresme Computational Chemical Physics] (Dir. Prof. Fernando Bresme) Imperial College London&lt;br /&gt;
*[https://www.imperial.ac.uk/people/n.quirke Prof. Nick Quirke] Imperial College London&lt;br /&gt;
*[https://www.csec.ed.ac.uk/ Center for Science at Extreme Conditions] University of Edinburgh&lt;br /&gt;
*[http://www.ph.ed.ac.uk/cmatter/ Condensed Matter Group]  University of Edinburgh&lt;br /&gt;
*[http://www.molsim.chem.ed.ac.uk/ Molsim] (Dir. Prof. Philip J. Camp) University of Edinburgh&lt;br /&gt;
*[http://www.homepages.ed.ac.uk/msweatma/index_new.html Statistical mechanics in chemical engineering] (Dir. Dr. Martin Sweatman) University of Edinburgh&lt;br /&gt;
*[http://www.chem.ucl.ac.uk/people/catlow/ Richard Catlow FRS] University College London&lt;br /&gt;
*[http://www.chem.ucl.ac.uk/people/coveney/ Professor Peter V. Coveney] University College London&lt;br /&gt;
*[http://titus.phy.qub.ac.uk/ Atomistic Simulation Centre]  Queen&#039;s University Belfast&lt;br /&gt;
*[http://www.ucl.ac.uk/msl Thomas Young Centre at UCL] University College London&lt;br /&gt;
*[http://www-theor.ch.cam.ac.uk/people/jphgroup/ Research group of Professor Hansen] Cambridge University&lt;br /&gt;
*[http://www.ch.cam.ac.uk/staff/df.html Professor Daan Frenkel] University of Cambridge&lt;br /&gt;
*[http://www-theor.ch.cam.ac.uk/people/sprikgroup/ Sprik Group] University of Cambridge&lt;br /&gt;
*[http://www-wales.ch.cam.ac.uk/ Wales group home page] University of Cambridge&lt;br /&gt;
*[http://www.bath.ac.uk/physics/research/theory/ Condensed Matter Theory] University of Bath&lt;br /&gt;
*[http://staff.bath.ac.uk/chsscp/ Computational Solid State Chemistry Group] University of Bath&lt;br /&gt;
*[http://www.irc.leeds.ac.uk/~phy6pdo/ Peter D. Olmsted] 	University of Leeds&lt;br /&gt;
*[http://www.cmns.leeds.ac.uk/SA/home.html Stefan Auer] University of Leeds&lt;br /&gt;
*[http://wheatley.chem.nottingham.ac.uk/ Dr. Richard Wheatley]  University of Nottingham&lt;br /&gt;
*[http://www.strings.ph.qmul.ac.uk/~cmsmg/  Condensed Matter and Statistical Mechanics Group] (Dir.:  Dr. Bob Jones) Queen Mary, University of London&lt;br /&gt;
*[http://www.orsi.sems.qmul.ac.uk/index.html Mario Orsi Group Molecular Dynamics Computer Simulation] Queen Mary University of London&lt;br /&gt;
*[http://www-thphys.physics.ox.ac.uk/user/ArdLouis/ Ard Louis research group] University of Oxford&lt;br /&gt;
*[http://physchem.ox.ac.uk/%7Edoye/index.html Jonathan Doye&#039;s Research Group] University of Oxford&lt;br /&gt;
*[http://www-thphys.physics.ox.ac.uk/user/JuliaYeomans/ Julia Yeomans&#039; research group] University of Oxford&lt;br /&gt;
*[http://sbcb.bioch.ox.ac.uk/ Structural Bioinformatics and Computational Biochemistry] (Dir.: Prof. Mark S. P. Sansom) University of Oxford&lt;br /&gt;
*[http://www-thphys.physics.ox.ac.uk/user/SoftBio/ Theory of Soft and Biological Matter] University of Oxford&lt;br /&gt;
*[http://www.chm.bris.ac.uk/pt/jeroen/jsvdhome.html Jeroen van Duijneveldt&#039;s research group] University of Bristol&lt;br /&gt;
*[http://www.umi.surrey.ac.uk/research/scm Soft Condensed Matter Physics Group] University of Surrey&lt;br /&gt;
*[http://www.chm.bris.ac.uk/pt/allan/Research/ Computational Materials Chemistry] (Dir.:  Professor Neil L. Allan) University of Bristol&lt;br /&gt;
*[http://www.stp.dias.ie/~dorlas/ Professor Teunis C. Dorlas] Dublin Institute for Advanced Studies&lt;br /&gt;
*[http://www.york.ac.uk/chemistry/staff/academic/a-c/mbates/ Dr Martin Bates] University of York&lt;br /&gt;
*[http://www.dur.ac.uk/physics/staff/profiles/?id=6691 Professor Tom McLeish] Durham University&lt;br /&gt;
*[http://www.kcl.ac.uk/nms/depts/mathematics/research/disorderedsys/index.aspx Disordered Systems Group] (Dir. Professor Peter Sollich) King&#039;s College London&lt;br /&gt;
*[http://www.shef.ac.uk/materials/staff/kptravis.html Dr Karl P. Travis] University of Sheffield&lt;br /&gt;
*[http://www.ma.hw.ac.uk/~oliver/ Professor Oliver Penrose] Heriot-Watt University&lt;br /&gt;
*[http://www.ccp5.ac.uk/ Collaborative Computational Project 5 - The Computer Simulation of Condensed Phases]&lt;br /&gt;
*[http://www.uwethiele.de/ Uwe Thiele] Loughborough University&lt;br /&gt;
*[http://www.soton.ac.uk/~chemphys/jessex/index.html Prof. J. W. Essex Research Group] University of Southampton&lt;br /&gt;
*[http://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/rld8 Ruslan L. Davidchack] University of Leicester&lt;br /&gt;
*[http://physchem.ox.ac.uk/~mano/ Manolopoulos Group] University of Oxford&lt;br /&gt;
*[http://seis.bris.ac.uk/~chysh/index.html Scott Habershon] University of Bristol&lt;br /&gt;
*[http://www.marcusbannerman.co.uk/index.php/home.html Marcus Bannerman] University of Aberdeen&lt;br /&gt;
*[http://azsoftmatter.wordpress.com Prof A V Zvelindovsky&#039;s Computational Physics Group] University of Central Lancashire&lt;br /&gt;
*[http://kac.maths.ed.ac.uk/~bl/index.php Ben Leimkuhler] University of Edinburgh&lt;br /&gt;
*[http://sergeylishchuk.getforge.io/ Sergey Lishchuk] University of Leicester (Honorary Visiting Fellow)&lt;br /&gt;
&lt;br /&gt;
== United States of America ==&lt;br /&gt;
*[http://faculty.ucmerced.edu/lhirst/index.html The Hirst Group] University of California, Merced&lt;br /&gt;
*[http://www.ecs.umass.edu/che/NSF_WWW/ Nanoscale Interdisciplinary Research Team (NIRT)] University of Massachusetts Amherst and University of Delaware&lt;br /&gt;
*[http://www.temple.edu/cst/icms/ Institute for Computational Molecular Science] (Dir. Michael L. Klein) Temple University&lt;br /&gt;
*[http://www2.matse.psu.edu/colinagroup/index.shtml Computational Biophysics and Soft Materials research group] (Dir. Dr. Coray Colina)  Pennsylvania State University&lt;br /&gt;
*[http://www.physics.upenn.edu/liugroup/index.html Liu Research Group] University of Pennsylvania&lt;br /&gt;
*[http://www.physics.upenn.edu/people/t.lubensky.html Tom C. Lubensky] University of Pennsylvania&lt;br /&gt;
*[http://chumba.che.ncsu.edu/ Keith E. Gubbins&#039; Research Group] North Carolina State University&lt;br /&gt;
*[http://turbo.che.ncsu.edu/index.html Carol K. Hall&#039;s Research Group] North Carolina State University&lt;br /&gt;
*[http://www.physics.ncsu.edu/people/faculty_lado.php Fred Lado] North Carolina State University&lt;br /&gt;
*[http://dl9s6.chem.unc.edu/  Polymer Theory Group] (Dir.: Michael Rubinstein) University of North Carolina at Chapel Hill &lt;br /&gt;
*[http://www.che.vanderbilt.edu/cummings1.htm Peter T. Cummings] Vanderbilt University and Oak Ridge National Laboratory&lt;br /&gt;
*[http://people.vanderbilt.edu/~c.mccabe/ McCabe Group]  Vanderbilt University&lt;br /&gt;
*[http://www.cbe.buffalo.edu/kofke.htm David A. Kofke] University at Buffalo&lt;br /&gt;
*[http://www.chemical.buffalo.edu/ Errington Research Group] University at Buffalo&lt;br /&gt;
*[http://www.chem.sunysb.edu/faculty/stell.shtml	George Stell] Stony Brook University&lt;br /&gt;
*[http://inka.mssm.edu/~mezei/  Mihaly Mezei] Mount Sinai School of Medicine, New York&lt;br /&gt;
*[http://pablonet.princeton.edu/  Pablo Gaston Debenedetti Group] Princeton University&lt;br /&gt;
*[http://cherrypit.princeton.edu/index.html Complex Materials Theory Group] (Dir.: Salvatore Torquato) Princeton University&lt;br /&gt;
*[http://www.princeton.edu/che/people/faculty/panagiotopoulos/group/ Panagiotopoulos Group Homepage] Princeton University&lt;br /&gt;
*[http://www.princeton.edu/~cargroup/ The Car Group] (Dir. Dr. Roberto Car) Princeton University&lt;br /&gt;
*[http://polymer.bu.edu/hes/ H. Eugene Stanley]  Boston University&lt;br /&gt;
*[http://physics.bu.edu/people/show/161 Nicolas Giovambattista] Boston University&lt;br /&gt;
*[http://spider.pas.rochester.edu/mainFrame/people/pages/Shapir_Yonathan.html Yonathan Shapir]  University of Rochester&lt;br /&gt;
*[http://bly.colorado.edu/index.html Liquid Crystal Physics Group] (Dir.: Noel Clark) University of Colorado at Boulder&lt;br /&gt;
*[http://www.columbia.edu/cu/chemistry/groups/berne/ Berne Group] Columbia University in the City of New York&lt;br /&gt;
*[http://www.columbia.edu/cu/chemistry/groups/cacciuto/index.html Cacciuto Group] Columbia University in the City of New York&lt;br /&gt;
*[http://homepages.nyu.edu/~mt33/ Prof. Mark E. Tuckerman] New York University &lt;br /&gt;
*[http://people.chem.byu.edu/doug Douglas J. Henderson] Brigham Young University&lt;br /&gt;
*[http://www.chem.umn.edu/groups/siepmann/index.html Siepmann Group]  University of Minnesota&lt;br /&gt;
*[http://www.engr.wisc.edu/groups/mtsm/ Molecular Thermodynamics and Statistical Mechanics Research Group] (Dir.: Juan J. de Pablo)  University of Wisconsin-Madison&lt;br /&gt;
*[http://www.chem.wisc.edu/~skinner/ The Skinner Group] University of Wisconsin-Madison&lt;br /&gt;
*[http://ising.phys.cwru.edu/ Soft Condensed Matter Theory Group of Professor Philip Taylor] Case Western Reserve University&lt;br /&gt;
*[http://liq-xtal.cwru.edu/ Case Liquid Crystal and Complex Fluids Group] (Dir.: Charles Rosenblatt) Case Western Reserve University&lt;br /&gt;
*[http://www.cchem.berkeley.edu/jmpgrp/index.htm John M. Prausnitz] University of California, Berkeley&lt;br /&gt;
*[http://cheme.berkeley.edu/people/faculty/smit/smit.html Berend Smit] University of California Berkeley&lt;br /&gt;
*[http://gold.cchem.berkeley.edu/The_Chandler_Group/Home.html The Chandler Group] University of California, Berkeley&lt;br /&gt;
*[http://europa.chem.uga.edu/ Allinger&#039;s Molecular Mechanics Research Lab]  University of Georgia&lt;br /&gt;
*[http://www.csp.uga.edu/ Center for Simulational Physics] (Dir. Prof. David Landau) University of Georgia&lt;br /&gt;
*[http://zarbi.chem.yale.edu/ William L. Jorgensen Research Group] Yale University&lt;br /&gt;
*[http://www.inl.gov/cams/ Center for Advanced Modeling and Simulation] Idaho National Laboratory&lt;br /&gt;
*[http://www.mwdeem.rice.edu/djearl/index.html David J. Earl group] University of Pittsburgh&lt;br /&gt;
*[http://www.pitt.edu/~jordan/index.html Ken Jordan Theoretical and Computational Chemistry] University of Pittsburgh&lt;br /&gt;
*[http://www.wag.caltech.edu/ Materials and Process Simulation Center] (Dir.: Dr. William A. Goddard III) California Institute of Technology&lt;br /&gt;
*[http://dasher.wustl.edu/ Jay Ponder Lab] Washington University School of Medicine&lt;br /&gt;
*[http://www.chemistry.wustl.edu/~gelb/ Lev David Gelb Research Group] Washington University in St. Louis&lt;br /&gt;
*[http://www.glue.umd.edu/~xpectnil/ Michael E. Fisher] University of Maryland&lt;br /&gt;
*[http://www.glue.umd.edu/~jdw/ John D. Weeks] University of Maryland &lt;br /&gt;
*[http://www.mesothermal.umd.edu/index.html Mesoscopic Fluctuations and Critical Phenomena] (Professors Mikhail A. Anisimov and Jan V. Sengers) University of Maryland&lt;br /&gt;
*[http://www.chem.umd.edu/research/facultyprofiles/christopherjarzynski Professor Christopher Jarzynski] University of Maryland&lt;br /&gt;
*[https://guenzalab.uoregon.edu The Guenza Lab] University of Oregon&lt;br /&gt;
*[http://www.chem.wisc.edu/~yethiraj/  The Yethiraj group] University of Wisconsin&lt;br /&gt;
*[http://www.ksu.edu/chem/people/faculty/smith.html Dr. Paul E. Smith] Kansas State University&lt;br /&gt;
*[http://www.chem.unl.edu/faculty/eachfaculty/zeng.shtml Xiao Cheng Zeng] University of Nebraska-Lincoln&lt;br /&gt;
*[http://www.chm.colostate.edu/bl/ Branka M. Ladanyi] Colorado State University&lt;br /&gt;
*[http://www.engr.ucr.edu/~jwu/ Jianzhong Wu]  University of California, Riverside&lt;br /&gt;
*[http://tigger.uic.edu/~mansoori/TRL_html Thermodynamics Research Laboratory] (Dir.: Dr. G. Ali Mansoori) University of Illinois at Chicago&lt;br /&gt;
*[http://www.ks.uiuc.edu/ Theoretical and Computational Biophysics Group] (Dir. Klaus Schulten) University of Illinois at Urbana-Champaign&lt;br /&gt;
*[http://www.chem.cornell.edu/faculty/index.asp?fac=45 Professor Benjamin  Widom] Cornell University&lt;br /&gt;
*[https://engineering.purdue.edu/ChE/People/ptProfile?id=11551 David S. Corti] Purdue University&lt;br /&gt;
*[http://www.chem.purdue.edu/bendor/ Ben-Amotz Research Group] Purdue University&lt;br /&gt;
*[http://boltzmann.rockefeller.edu/ E. G. D. Cohen Laboratory] The Rockefeller University&lt;br /&gt;
*[http://www.phys.washington.edu/users/thouless/cmt.html  Condensed Matter Theory group] University of Washington&lt;br /&gt;
*[http://www.math.rutgers.edu/~lebowitz/ Joel L. Lebowitz]     Rutgers University&lt;br /&gt;
*[http://www.physics.rutgers.edu/cmt/group-cmt.html Theoretical Condensed Matter Physics] Rutgers University&lt;br /&gt;
*[http://www.science.duq.edu/faculty/talbot.html Julian Talbot]     Duquesne University&lt;br /&gt;
*[http://www.coecs.ou.edu/lllee/www/leeCPP.html  Lloyd L. Lee] California State University  &lt;br /&gt;
*[http://www.public.asu.edu/~caangell/  C. Austen Angell] Arizona State University&lt;br /&gt;
*[http://www.ruf.rice.edu/~saft/ Walter G. Chapman] Rice University&lt;br /&gt;
*[http://www.dartmouth.edu/~chem/faculty/JEGL.html Prof. Jane E. G. Lipson] Dartmouth College&lt;br /&gt;
*[http://thglab.berkeley.edu/ Teresa Head-Gordon&#039;s Lab] University of California, Berkeley&lt;br /&gt;
*[http://www.chm.tcu.edu/faculty/huckaby/ Dale A. Huckaby] Texas Christian University&lt;br /&gt;
*[http://research.che.tamu.edu/groups/Cagin/index-1.html Laboratory of Computational Engineering of Nanomaterials] (Dir.: Tahir Cagin) Texas A &amp;amp; M University&lt;br /&gt;
*[http://www.engin.umich.edu/dept/che/research/glotzer/index.html Glotzer group] University of Michigan&lt;br /&gt;
*[http://www.nd.edu/~gezelter/Main/ Gezelter Lab] University of Notre Dame&lt;br /&gt;
*[http://www.nd.edu/~ed/ Edward J. Maginn Group] University of Notre Dame&lt;br /&gt;
*[http://chemistry.uchicago.edu/faculty/faculty/person/member/gregory-a-voth.html Gregory A. Voth] University of Chicago&lt;br /&gt;
*[http://www2.chem.utah.edu/molinero/index.html Molinero Research Group] (Principal Investigator: [http://www.chem.utah.edu/directory/molinero.php Valeria Molinero]) University of Utah&lt;br /&gt;
*[http://williamhoover.info/ Herr Professor Doctor William Graham Hoover] University of California, Davis&lt;br /&gt;
*[http://www.chms.ucdavis.edu/research/web/faller/  Roland Faller Soft Condensed Matter Simulations] University of California, Davis&lt;br /&gt;
*[http://www.egr.msu.edu/~priezjev/ Nikolai Priezjev] Michigan State University&lt;br /&gt;
*[http://chemistry.uchicago.edu/fac/rice.shtml Prof. Stuart A. Rice] University of Chicago&lt;br /&gt;
*[http://berrygroup.uchicago.edu/ R. Stephen Berry Research Group] University of Chicago &lt;br /&gt;
*[http://soft-materials.scripts.mit.edu/www/index.shtml Laboratory for Theoretical Soft Materials] (Dir. Alfredo Alexander-Katz) Massachusetts Institute of Technology&lt;br /&gt;
*[http://web.mit.edu/doylegroup Patrick Doyle Research Group] Massachusetts Institute of Technology&lt;br /&gt;
*[http://www.physics.nyu.edu/~pc86/index.html Chaikinlab] (Dir. Paul Chaikin) New York University&lt;br /&gt;
*[http://www.chemeng.ucla.edu/people/faculty/gerassimos-orkoulas Gerassimos Orkoulas] University of California, Los Angeles&lt;br /&gt;
*[http://www.chem.missouri.edu/thompson/ Donald L. Thompson&#039;s Theoretical Chemistry Research Group] University of Missouri - Columbia&lt;br /&gt;
*[http://www.chemistry.oregonstate.edu/evans.html Glenn T. Evans] Oregon State University&lt;br /&gt;
*[http://www.chem.duke.edu/labs/charbonneau/ Charbonneau Research Group] Duke University&lt;br /&gt;
*[http://www.chem.uno.edu/ChemistryDepartmentfolder/Rick.html Steven W. Rick] University of New Orleans&lt;br /&gt;
*[http://insti.physics.sunysb.edu/physics/forms/profilesearch.cgi?lastname=mccoy Barry M. McCoy] Stony Brook University&lt;br /&gt;
*[http://www.brown.edu/Departments/Physics/people/facultypage.php?id=1106970110 Prof. Jimmie Doll] Brown University&lt;br /&gt;
*[http://www.chm.uri.edu/index.php?dest=display_abstract&amp;amp;button=&amp;amp;topic=&amp;amp;email=dfreeman&amp;amp;from=index.php&amp;amp;back=Home David Freeman] University of Rhode Island&lt;br /&gt;
*[http://che.engin.umich.edu/people/ziff.html Robert M. Ziff] University of Michigan&lt;br /&gt;
*[http://www.jhu.edu/chembe/research/research-thermo.html Molecular Thermodynamics] Johns Hopkins University&lt;br /&gt;
*[http://www.fingo.org/wang/index.html Zun-Jing Wang] Carnegie Mellon University&lt;br /&gt;
*[http://potoff1.eng.wayne.edu/ Potoff Research Group] Wayne State University&lt;br /&gt;
*[http://faculty.virginia.edu/shirtsgroup/index.php Shirts Research Group] (Dir. Michael Shirts) University of Virginia&lt;br /&gt;
*[http://www.ecs.umass.edu/~monson/ Peter Monson&#039;s Research Group] University of Massachusetts Amherst&lt;br /&gt;
*[http://bmb.utmb.edu/pettitt/ Pettitt Research Lab] ([http://bmb.utmb.edu/pettitt/group/pettitt/ Prof. B. Montgomery Pettitt]) University of Texas Medical Branch&lt;br /&gt;
*[https://www.ameslab.gov/dmse/trvsst Alejandro Travesset] Ames Laboratory&lt;br /&gt;
*[http://www.chemistry.emory.edu/faculty/kindt/index.html Kindt Research Group] (Dir.: [http://www.chemistry.emory.edu/faculty/kindt/about.htm James T. Kindt]) Emory University &lt;br /&gt;
&lt;br /&gt;
[[category: Miscellaneous]]&lt;/div&gt;</summary>
		<author><name>95.116.127.139</name></author>
	</entry>
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