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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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)
• 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)