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Binary hard-sphere mixtures

2011-10-30T18:11:48Z

212.182.170.230: /* References */

{{stub-general}}
From a theoretical point of view, one of the simplest [[mixtures]] amenable to study is that of binary [[hard sphere model | hard spheres]]. In other words, of the two components one component has a diameter <math>\sigma_1</math> and the other component has a diameter <math>\sigma_2</math>.
==See also==
*[[Equations of state for hard sphere mixtures]]
*[[Fundamental-measure theory]]
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1103/PhysRevLett.66.2215 Thierry Biben and Jean-Pierre Hansen "Phase separation of asymmetric binary hard-sphere fluids", Physical Review Letters '''66''' pp. 2215-2218 (1991)]
*[http://dx.doi.org/10.1080/00268979300101101 M. D. Eldridge, P. A. Madden and D. Frenkel " The stability of the AB_13 crystal in a binary hard sphere system", Molecular Physics '''79''' pp. 105-120 (1993)]
*[http://dx.doi.org/10.1103/PhysRevLett.72.3831 Yaakov Rosenfeld "Phase Separation of Asymmetric Binary Hard-Sphere Fluids: Self-Consistent Density Functional Theory", Physical Review Letters '''72''' pp. 3831-3834 (1994)]
*[http://dx.doi.org/10.1088/0953-8984/6/23A/022 M Rovere and G Pastore "Fluid-fluid phase separation in binary mixtures of asymmetric non-additive hard spheres", Journal of Physics: Condensed Matter '''6''' pp. A163-A166 (1994)]
*[http://dx.doi.org/10.1088/0953-8984/7/3/001 Hong Xu and C Barentin "Freezing of very asymmetric binary hard-sphere mixtures", Journal of Physics: Condensed Matter '''7''' pp. L13-L17 (1995)]
*[http://dx.doi.org/10.1088/0953-8984/8/43/010 F Saija and P V Giaquinta "Statistical entropy of a binary hard-sphere mixture: the low-density limit", Journal of Physics: Condensed Matter '''8''' pp. 8137-8144 (1996)]
*[http://dx.doi.org/10.1088/0953-8984/8/50/008 Thierry Biben, Peter Bladon and Daan Frenkel "Depletion effects in binary hard-sphere fluids", Journal of Physics: Condensed Matter '''8''' pp. 10799-10821 (1996)]
*[http://dx.doi.org/10.1063/1.471229 E. Lomba, M. Alvarez, L. L. Lee and N. G. Almarza "Phase stability of binary non-additive hard-sphere mixtures: A self-consistent integral equation study", Journal of Chemical Physics '''104''' pp. 4180- (1996)]
*[http://dx.doi.org/10.1063/1.477227 Tamara Coussaert and Marc Baus "Demixing vs freezing of binary hard-sphere mixtures", Journal of Chemical Physics '''109''' pp. 6012- (1998)]
*[http://dx.doi.org/10.1039/a902831e Anatol Malijevský and Jan Veverka "New equations of state for pure and binary hard-sphere fluids", PCCP '''1''' pp. 4267-4270 (1999)]
*[http://dx.doi.org/10.1080/00268970210145311 D. Viduna and W. R. Smith "New accurate binary hard sphere mixture radial distribution functions at contact and a new equation of state", Molecular Physics '''100''' pp. 2903-2905 (2002)]
*[http://dx.doi.org/10.1016/S0378-3812(03)00282-6 A. Yu. Vlasov and A. J. Masters "Binary mixtures of hard spheres: how far can one go with the virial equation of state?", Fluid Phase Equilibria '''212''' pp. 183-198 (2003)]
*[http://dx.doi.org/10.1080/0026897031000108096 C. Barrio and J. R. Solana "Analytical representation of the higher virial coefficients of binary mixtures of additive hard spheres", Molecular Physics '''101''' pp. 1545-1549 (2003)]
*[http://dx.doi.org/10.1080/00268970802116906 Morad Alawneh and Douglas Henderson "Molecular dynamics results for the radial distribution functions of highly asymmetric hard sphere mixtures", Molecular Physics '''106''' pp. 607-614 (2008)]
**[http://dx.doi.org/10.1080/00268970802549171 Erratum, Molecular Physics '''106''' pp. 2407-2408 (2008)]
*[http://dx.doi.org/10.1063/1.3541248 Gerardo Odriozola and Ludovic Berthier "Equilibrium equation of state of a hard sphere binary mixture at very large densities using replica exchange Monte Carlo simulations", Journal of Chemical Physics '''134''' 054504 (2011)]
*[http://prl.aps.org/abstract/PRL/v107/i16/e168302 L. Filion, M. Hermes, R. Ni, E. C. M. Vermolen, A. Kuijk, C. G. Christova, J. C. P. Stiefelhagen, T. Vissers, A. van Blaaderen, and M. Dijkstra "Self-Assembly of a Colloidal Interstitial Solid with Tunable Sublattice Doping", Physical Review Letters '''107''' 168302 (2011)]
*[http://www.tandfonline.com/doi/abs/10.1080/00268976.2011.554333 Ran Ni, Frank Smallenburg, Laura Filion and Marjolein Dijkstra "Crystal Nucleation in binary hard-sphere mixtures: The effect of order parameter on the cluster composition", Molecular Physics '''109''' 1213 (2011)]

[[category: mixtures]]

Binary hard-sphere mixtures

2011-10-30T18:09:21Z

212.182.170.230: /* References */

Binary hard-sphere mixtures

2011-10-30T18:08:40Z

212.182.170.230: /* References */

{{stub-general}}
From a theoretical point of view, one of the simplest [[mixtures]] amenable to study is that of binary [[hard sphere model | hard spheres]]. In other words, of the two components one component has a diameter <math>\sigma_1</math> and the other component has a diameter <math>\sigma_2</math>.
==See also==
*[[Equations of state for hard sphere mixtures]]
*[[Fundamental-measure theory]]
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1103/PhysRevLett.66.2215 Thierry Biben and Jean-Pierre Hansen "Phase separation of asymmetric binary hard-sphere fluids", Physical Review Letters '''66''' pp. 2215-2218 (1991)]
*[http://dx.doi.org/10.1080/00268979300101101 M. D. Eldridge, P. A. Madden and D. Frenkel " The stability of the AB_13 crystal in a binary hard sphere system", Molecular Physics '''79''' pp. 105-120 (1993)]
*[http://dx.doi.org/10.1103/PhysRevLett.72.3831 Yaakov Rosenfeld "Phase Separation of Asymmetric Binary Hard-Sphere Fluids: Self-Consistent Density Functional Theory", Physical Review Letters '''72''' pp. 3831-3834 (1994)]
*[http://dx.doi.org/10.1088/0953-8984/6/23A/022 M Rovere and G Pastore "Fluid-fluid phase separation in binary mixtures of asymmetric non-additive hard spheres", Journal of Physics: Condensed Matter '''6''' pp. A163-A166 (1994)]
*[http://dx.doi.org/10.1088/0953-8984/7/3/001 Hong Xu and C Barentin "Freezing of very asymmetric binary hard-sphere mixtures", Journal of Physics: Condensed Matter '''7''' pp. L13-L17 (1995)]
*[http://dx.doi.org/10.1088/0953-8984/8/43/010 F Saija and P V Giaquinta "Statistical entropy of a binary hard-sphere mixture: the low-density limit", Journal of Physics: Condensed Matter '''8''' pp. 8137-8144 (1996)]
*[http://dx.doi.org/10.1088/0953-8984/8/50/008 Thierry Biben, Peter Bladon and Daan Frenkel "Depletion effects in binary hard-sphere fluids", Journal of Physics: Condensed Matter '''8''' pp. 10799-10821 (1996)]
*[http://dx.doi.org/10.1063/1.471229 E. Lomba, M. Alvarez, L. L. Lee and N. G. Almarza "Phase stability of binary non-additive hard-sphere mixtures: A self-consistent integral equation study", Journal of Chemical Physics '''104''' pp. 4180- (1996)]
*[http://dx.doi.org/10.1063/1.477227 Tamara Coussaert and Marc Baus "Demixing vs freezing of binary hard-sphere mixtures", Journal of Chemical Physics '''109''' pp. 6012- (1998)]
*[http://dx.doi.org/10.1039/a902831e Anatol Malijevský and Jan Veverka "New equations of state for pure and binary hard-sphere fluids", PCCP '''1''' pp. 4267-4270 (1999)]
*[http://dx.doi.org/10.1080/00268970210145311 D. Viduna and W. R. Smith "New accurate binary hard sphere mixture radial distribution functions at contact and a new equation of state", Molecular Physics '''100''' pp. 2903-2905 (2002)]
*[http://dx.doi.org/10.1016/S0378-3812(03)00282-6 A. Yu. Vlasov and A. J. Masters "Binary mixtures of hard spheres: how far can one go with the virial equation of state?", Fluid Phase Equilibria '''212''' pp. 183-198 (2003)]
*[http://dx.doi.org/10.1080/0026897031000108096 C. Barrio and J. R. Solana "Analytical representation of the higher virial coefficients of binary mixtures of additive hard spheres", Molecular Physics '''101''' pp. 1545-1549 (2003)]
*[http://dx.doi.org/10.1080/00268970802116906 Morad Alawneh and Douglas Henderson "Molecular dynamics results for the radial distribution functions of highly asymmetric hard sphere mixtures", Molecular Physics '''106''' pp. 607-614 (2008)]
**[http://dx.doi.org/10.1080/00268970802549171 Erratum, Molecular Physics '''106''' pp. 2407-2408 (2008)]
*[http://dx.doi.org/10.1063/1.3541248 Gerardo Odriozola and Ludovic Berthier "Equilibrium equation of state of a hard sphere binary mixture at very large densities using replica exchange Monte Carlo simulations", Journal of Chemical Physics '''134''' 054504 (2011)]
*[http://prl.aps.org/abstract/PRL/v107/i16/e168302 L. Filion, M. Hermes, R. Ni, E. C. M. Vermolen, A. Kuijk, C. G. Christova, J. C. P. Stiefelhagen, T. Vissers, A. van Blaaderen, and M. Dijkstra "Self-Assembly of a Colloidal Interstitial Solid with Tunable Sublattice Doping
", Physical Review Letters '''107''' 168302 (2011)]

[[category: mixtures]]