Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows

TL;DR

This paper uses an adaptive-window Wang-Landau sampling method to analyze the critical behavior of lattice gases with exclusion, successfully estimating critical exponents and confirming known universality class characteristics.

Contribution

It introduces an adaptive-window Wang-Landau algorithm for studying phase transitions in lattice gases, providing accurate critical exponent estimates in two and three dimensions.

Findings

Critical exponents estimated with fair accuracy

Finite-size scaling aligns with known values

Method effective for Ising-like phase transitions

Abstract

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase transition. We study the particle density, order parameter, compressibility, Binder cumulant and susceptibility. Our results show that it is possible to estimate critical exponents using Wang-Landau sampling with adaptive windows. Finite-size-scaling analysis leads to results in fair agreement with exact values (in two dimensions) and numerical estimates (in three dimensions).