Monte Carlo study of the Widom-Rowlinson fluid using cluster methods

TL;DR

This paper introduces a new cluster algorithm to study the Widom-Rowlinson fluid model, confirming its critical behavior aligns with the Ising universality class in two and three dimensions, and extending analysis to three-component fluids.

Contribution

A novel cluster algorithm generalization applied to the Widom-Rowlinson model, providing accurate critical exponent estimates and extending analysis to multi-component fluids.

Findings

Critical exponents match Ising universality class in 2D and 3D.

Algorithm effectively studies multi-component fluids.

Results support universality hypothesis.

Abstract

The Widom-Rowlinson model of a fluid mixture is studied using a new cluster algorithm that is a generalization of the invaded cluster algorithm previously applied to Potts models. Our estimate of the critical exponents for the two-component fluid are consistent with the Ising universality class in two and three dimensions. We also present results for the three-component fluid.