Chemical potential - Revision history

Carl McBride: /* References */ Added a recent publication

2018-09-12T12:07:44Z

References: Added a recent publication

← Older revision		Revision as of 14:07, 12 September 2018
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	*[http://dx.doi.org/10.1063/1.4758757 Federico G. Pazzona, Pierfranco Demontis, and Giuseppe B. Suffritti "Chemical potential evaluation in NVT lattice-gas simulations", Journal of Chemical Physics '''137''' 154106 (2012)]		*[http://dx.doi.org/10.1063/1.4758757 Federico G. Pazzona, Pierfranco Demontis, and Giuseppe B. Suffritti "Chemical potential evaluation in NVT lattice-gas simulations", Journal of Chemical Physics '''137''' 154106 (2012)]
	*[http://dx.doi.org/10.1063/1.4991324 E. A. Ustinov "Efficient chemical potential evaluation with kinetic Monte Carlo method and non-uniform external potential: Lennard-Jones fluid, liquid, and solid", Journal of Chemical Physics '''147''' 014105 (2017)]		*[http://dx.doi.org/10.1063/1.4991324 E. A. Ustinov "Efficient chemical potential evaluation with kinetic Monte Carlo method and non-uniform external potential: Lennard-Jones fluid, liquid, and solid", Journal of Chemical Physics '''147''' 014105 (2017)]
			*[https://doi.org/10.1063/1.5024631 Claudio Perego, Omar Valsson, and Michele Parrinello "Chemical potential calculations in non-homogeneous liquids", Journal of Chemical Physics 149, 072305 (2018)]


	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]

Carl McBride: /* References */ Added a recent publication

2017-07-10T14:08:06Z

References: Added a recent publication

← Older revision		Revision as of 16:08, 10 July 2017
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	*[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]		*[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]
	*[http://dx.doi.org/10.1063/1.4758757 Federico G. Pazzona, Pierfranco Demontis, and Giuseppe B. Suffritti "Chemical potential evaluation in NVT lattice-gas simulations", Journal of Chemical Physics '''137''' 154106 (2012)]		*[http://dx.doi.org/10.1063/1.4758757 Federico G. Pazzona, Pierfranco Demontis, and Giuseppe B. Suffritti "Chemical potential evaluation in NVT lattice-gas simulations", Journal of Chemical Physics '''137''' 154106 (2012)]
			*[http://dx.doi.org/10.1063/1.4991324 E. A. Ustinov "Efficient chemical potential evaluation with kinetic Monte Carlo method and non-uniform external potential: Lennard-Jones fluid, liquid, and solid", Journal of Chemical Physics '''147''' 014105 (2017)]


	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]

Carl McBride: /* See also */ Added an internal link

2015-04-16T12:11:05Z

Sergius at 15:39, 18 August 2014

2014-08-18T15:39:57Z

← Older revision		Revision as of 17:39, 18 August 2014
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	where <math>G</math> is the [[Gibbs energy function]], leading to		where <math>G</math> is the [[Gibbs energy function]], leading to

	:<math>\mu=\frac{A}{~~Nk_B~~ T} + \frac{pV}{~~Nk_BT~~}</math>		:<math>\frac{\mu}{k_B T}=\frac{G}{N k_B T}=\frac{A}{N k_B T}+\frac{p V}{N k_B T}</math>

	where <math>A</math> is the [[Helmholtz energy function]], <math>k_B</math>		where <math>A</math> is the [[Helmholtz energy function]], <math>k_B</math>

Sergius: See the discussion page

2013-08-23T10:14:27Z

See the discussion page

← Older revision		Revision as of 12:14, 23 August 2013
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	number of particles		number of particles

	:<math>\mu= \left. \frac{\partial A}{\partial N}\right\vert_{T,V}=\frac{\partial (-k_B T \ln Z_N)}{\partial N} = -\frac{3}{2} ~~k_BT~~ \ln \left(\frac{2\pi m k_BT}{h^2}\right) + \frac{\partial \ln Q_N}{\partial N}</math>		:<math>\mu= \left. \frac{\partial A}{\partial N}\right\vert_{T,V}=\frac{\partial (-k_B T \ln Z_N)}{\partial N} = - k_B T \left[ \frac{3}{2} \ln \left(\frac{2\pi m k_BT}{h^2}\right) + \frac{\partial \ln Q_N}{\partial N} \right]</math>

	where <math>Z_N</math> is the [[partition function]] for a fluid of <math>N</math>		where <math>Z_N</math> is the [[partition function]] for a fluid of <math>N</math>
	identical particles		identical particles

Carl McBride: /* References */ Added a recent publication

2012-10-22T11:04:50Z

References: Added a recent publication

← Older revision		Revision as of 13:04, 22 October 2012
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	*[http://dx.doi.org/10.1119/1.17844 G. Cook and R. H. Dickerson "Understanding the chemical potential", American Journal of Physics '''63''' pp. 737-742 (1995)]		*[http://dx.doi.org/10.1119/1.17844 G. Cook and R. H. Dickerson "Understanding the chemical potential", American Journal of Physics '''63''' pp. 737-742 (1995)]
	*[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]		*[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]
			*[http://dx.doi.org/10.1063/1.4758757 Federico G. Pazzona, Pierfranco Demontis, and Giuseppe B. Suffritti "Chemical potential evaluation in NVT lattice-gas simulations", Journal of Chemical Physics '''137''' 154106 (2012)]


	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]

Carl McBride: Reverted edits by 70.135.118.126 (talk) to last revision by Nice and Tidy

2012-01-04T14:32:09Z

Reverted edits by 70.135.118.126 (talk) to last revision by Nice and Tidy

← Older revision		Revision as of 16:32, 4 January 2012
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	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]
	~~[http://www.prlog.org/11289974-phone-number-lookup-verizon-phone-number-reverse-lookup-to-get-information-you-need-quickly.html phone address lookup]~~

	~~[http://thetvtopc.com/Reverse_Cell_Phone_Lookup_Number reverse phone number lookup]~~

70.135.118.126 at 05:58, 4 January 2012

2012-01-04T05:58:34Z

← Older revision		Revision as of 07:58, 4 January 2012
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	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]
			[http://www.prlog.org/11289974-phone-number-lookup-verizon-phone-number-reverse-lookup-to-get-information-you-need-quickly.html phone address lookup]

			[http://thetvtopc.com/Reverse_Cell_Phone_Lookup_Number reverse phone number lookup]

Nice and Tidy: Changed references to Cite format.

2009-11-11T11:42:53Z

Changed references to Cite format.

← Older revision		Revision as of 13:42, 11 November 2009
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	==Kirkwood charging formula==		==Kirkwood charging formula==
	~~See Ref~~. 2		The Kirkwood charging formula is given by <ref>[http://dx.doi.org/10.1063/1.1749657 John G. Kirkwood "Statistical Mechanics of Fluid Mixtures", Journal of Chemical Physics '''3''' pp. 300-313 (1935)]</ref>

	:<math>\beta \mu_{\rm ex} = \rho \int_0^1 d\lambda \int \frac{\partial \beta \Phi_{12} (r,\lambda)}{\partial \lambda} {\rm g}(r,\lambda) dr</math>		:<math>\beta \mu_{\rm ex} = \rho \int_0^1 d\lambda \int \frac{\partial \beta \Phi_{12} (r,\lambda)}{\partial \lambda} {\rm g}(r,\lambda) dr</math>
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	==References==		==References==
	~~#[http:~~/~~/dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics~~ '''~~122~~''' ~~pp. 1237-1260 (2006)]~~		<references/>
	#[http://dx.doi.org/10.~~1063~~/1.~~1749657 John~~ G. ~~Kirkwood~~ "~~Statistical Mechanics of Fluid Mixtures~~", Journal of ~~Chemical~~ Physics '''3''' pp. ~~300~~-~~313~~ (~~1935~~)]		'''Related reading'''
	#[http://dx.doi.org/10.~~1119~~/1.~~17844 G~~. ~~Cook and R. H. Dickerson~~ "~~Understanding the chemical potential~~", ~~American~~ Journal of Physics '''63''' pp. ~~737~~-~~742~~ (~~1995~~)]		*[http://dx.doi.org/10.1119/1.17844 G. Cook and R. H. Dickerson "Understanding the chemical potential", American Journal of Physics '''63''' pp. 737-742 (1995)]
			*[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]
	[[category:classical thermodynamics]]		[[category:classical thermodynamics]]
	[[category:statistical mechanics]]		[[category:statistical mechanics]]

Carl McBride: /* See also */

2008-01-29T16:23:28Z

← Older revision		Revision as of 14:11, 16 April 2015
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	where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]] and <math>{\rm g}(r)</math> is the [[Pair distribution function \| pair correlation function]].		where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]] and <math>{\rm g}(r)</math> is the [[Pair distribution function \| pair correlation function]].
	==See also==		==See also==
			*[[Constant chemical potential molecular dynamics (CμMD)]]
	*[[Ideal gas: Chemical potential]]		*[[Ideal gas: Chemical potential]]
			*[[Overlapping distribution method]]
	*[[Widom test-particle method]]		*[[Widom test-particle method]]
	*[[Overlapping distribution method]]

	==References==		==References==

← Older revision		Revision as of 18:23, 29 January 2008
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	==See also==		==See also==
	*[[Ideal gas: Chemical potential]]		*[[Ideal gas: Chemical potential]]
			*[[Widom test-particle method]]
			*[[Overlapping distribution method]]

	==References==		==References==
	#[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]		#[http://dx.doi.org/10.1007/s10955-005-8067-x T. A. Kaplan "The Chemical Potential", Journal of Statistical Physics '''122''' pp. 1237-1260 (2006)]