Cluster Monte Carlo study of multi-component fluids of the Stillinger-Helfand and Widom-Rowlinson type

Details Cluster Monte Carlo study of multi-component fluids of the Stillinger-Helfand and Widom-Rowlinson type Cluster Monte Carlo study of multi-component fluids of the Stillinger-Helfand and Widom-Rowlinson type

2000-03-31

arxiv.org/abs/cond-mat/0003516v1

Phys. Rev. E62, 2226 (2000)

Physics

Condensed Matter

Statistical Mechanics

25 pages, 5 figures

Scientific paper

10.1103/PhysRevE.62.2226

Phase transitions of fluid mixtures of the type introduced by Stillinger and Helfand are studied using a continuum version of the invaded cluster algorithm. Particles of the same species do not interact, but particles of different types interact with each other via a repulsive potential. Examples of interactions include the Gaussian molecule potential and a repulsive step potential. Accurate values of the critical density, fugacity and magnetic exponent are found in two and three dimensions for the two-species model. The effect of varying the number of species and of introducing quenched impurities is also investigated. In all the cases studied, mixtures of $q$-species are found to have properties similar to $q$-state Potts models.

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