Structure and phase equilibria of the Widom-Rowlinson model

Abstract

The Widom-Rowlinson model plays an important role in the statistical mechanics of second order phase transitions and yet there currently exists no theoretical approach capable of accurately predicting both the microscopic structure and phase equilibria. We address this issue using computer simulation, density functional theory and integral equation theory. A detailed study of the pair correlation functions obtained from computer simulation motivates a closure of the Ornstein-Zernike equations which gives a good description of the pair structure and locates the critical point to an accuracy of 2 percent.

References in corpus (7)

• The fluid-fluid interface in a model colloid-polymer mixture: Application of grand canonical Monte Carlo to asymmetric binary mixtures
• Monte Carlo study of the Widom-Rowlinson fluid using cluster methods
• Critical Behavior of the Widom-Rowlinson Lattice Model
• Cluster algorithm for non-additive hard-core mixtures
• Critical behavior of the Widom-Rowlinson mixture: coexistence diameter and order parameter
• Direct correlation functions of the Widom-Rowlinson model
• Entropy Driven Phase Separation in a Model Colloid-Polymer Mixture

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• Dynamics of localized particles from density functional theory
• Three stable phases and thermodynamic anomaly in a binary mixture of hard particles
• Thermodynamic behavior of binary mixtures of hard spheres: Semianalytical solutions on a Husimi lattice built with cubes
• Reentrant disorder-disorder transitions in generalized multicomponent Widom-Rowlinson models
• Fluid-fluid demixing and density anomaly in a ternary mixture of hard spheres
• Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes