# 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 and the other component has a diameter .

## See also[edit]

## References[edit]

- 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) - 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) - 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) - 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) - D. J. Ashton , V. Sánchez-Gil and N. B. Wilding "Monte Carlo methods for estimating depletion potentials in highly size-asymmetrical hard sphere mixtures", Journal of Chemical Physics
**139**144102 (2013) - Antonia Statt, Rattachai Pinchaipat, Francesco Turci, Robert Evans and C. Patrick Royall "Direct observation in 3d of structural crossover in binary hard sphere mixtures", Journal of Chemical Physics
**144**144506 (2016) - Marvin Bishop and Paula A. Whitlock "Five dimensional binary hard hypersphere mixtures: A Monte Carlo study", Journal of Chemical Physics
**145**154502 (2016) - Stanislav Labík, Anatol Malijevský and Jiří Kolafa "Virial coefficients of the additive hard-sphere binary mixtures up to the eighth", Molecular Physics
**115**pp. 1051-1056 (2017) - Ioatzin Ríos de Anda, Francesco Turci, Richard P. Sear, and C. Patrick Royall "Long-lived non-equilibrium interstitial solid solutions in binary mixtures", Journal of Chemical Physics
**147**124504 (2017) - Craig Moir, Leo Lue, Julian D. Gale, Paolo Raiteri, and Marcus N. Bannerman "Anomalous heat transport in binary hard-sphere gases", Physical Review E
**99**030102 (2019)