Binary hard-sphere mixtures: Difference between revisions

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*[[Equations of state for hard sphere mixtures]]
*[[Equations of state for hard sphere mixtures]]
==References==
==References==
#[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)]
<references/>
#[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)]
;Related reading
#[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/10.1103/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/10.1088/0953-8984/6/23A/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/10.1080/00268979300101101 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/10.1088/0953-8984/7/3/001  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/10.1103/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/10.1088/0953-8984/8/43/010 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/10.1088/0953-8984/6/23A/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/10.1088/0953-8984/8/50/008 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/10.1088/0953-8984/7/3/001  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/10.1063/1.471229 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/10.1088/0953-8984/8/43/010 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/10.1063/1.477227 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/10.1088/0953-8984/8/50/008 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/10.1039/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/10.1063/1.471229 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/10.1080/00268970210145311 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/10.1063/1.477227 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/10.1016/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/10.1039/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/10.1080/0026897031000108096 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/10.1080/00268970210145311 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/10.1080/00268970802116906 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/10.1016/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/10.1080/00268970802549171 Erratum, Molecular Physics '''106''' pp. 2407-2408 (2008)]
*[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)]
 
[[category: mixtures]]

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From a theoretical point of view, one of the simplest mixtures amenable to study is that of binary hard spheres. In other words, of the two components one component has a diameter and the other component has a diameter .

See also

References

Related reading