Binary hard-sphere mixtures

2019-12-17T14:17:10Z

137.50.174.52: Added additional reading related to binary hard sphere mixtures

{{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)]
*[http://dx.doi.org/10.1063/1.4824137 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)]
*[http://dx.doi.org/10.1063/1.4945808 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)]
*[http://dx.doi.org/10.1063/1.4964614 Marvin Bishop and Paula A. Whitlock "Five dimensional binary hard hypersphere mixtures: A Monte Carlo study", Journal of Chemical Physics '''145''' 154502 (2016)]
*[http://dx.doi.org/10.1080/00268976.2016.1226441 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)]
*[http://dx.doi.org/10.1063/1.4985917 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)]
*[http://dx.doi.org/10.1103/PhysRevE.99.030102 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)]

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Binary hard-sphere mixtures