Binary hard-sphere mixtures

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 $\sigma _{1}$ and the other component has a diameter $\sigma _{2}$.

See also

• Equations of state for hard sphere mixtures
• Fundamental-measure theory

References

Related reading

• Thierry Biben and Jean-Pierre Hansen "Phase separation of asymmetric binary hard-sphere fluids", Physical Review Letters 66 pp. 2215-2218 (1991)
• 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)
• Yaakov Rosenfeld "Phase Separation of Asymmetric Binary Hard-Sphere Fluids: Self-Consistent Density Functional Theory", Physical Review Letters 72 pp. 3831-3834 (1994)
• 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)
• Hong Xu and C Barentin "Freezing of very asymmetric binary hard-sphere mixtures", Journal of Physics: Condensed Matter 7 pp. L13-L17 (1995)
• 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)
• Thierry Biben, Peter Bladon and Daan Frenkel "Depletion effects in binary hard-sphere fluids", Journal of Physics: Condensed Matter 8 pp. 10799-10821 (1996)
• 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)
• Tamara Coussaert and Marc Baus "Demixing vs freezing of binary hard-sphere mixtures", Journal of Chemical Physics 109 pp. 6012- (1998)
• Anatol Malijevský and Jan Veverka "New equations of state for pure and binary hard-sphere fluids", PCCP 1 pp. 4267-4270 (1999)
• 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)
• 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)
• 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)
• 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)
  • Erratum, Molecular Physics 106 pp. 2407-2408 (2008)
• 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)]