Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice

TL;DR

This paper investigates the critical behavior of a hard-sphere lattice gas on a simple cubic lattice using Monte Carlo simulations, determining critical exponents related to phase transitions.

Contribution

It provides the first Monte Carlo estimates of critical exponents for the hard-sphere lattice gas with nearest neighbor exclusion on a cubic lattice.

Findings

Critical exponent for staggered density: 0.313(9)

Critical exponent for staggered compressibility: 2.37(2)

Supports universality class of the model

Abstract

We study the critical phenomena of the hard-sphere lattice gas on the simple cubic lattice with nearest neighbour exclusion by the Monte Carlo method. We get the critical exponents, $\beta / \nu$ = 0.313(9) and $\gamma / \nu$ = 2.37(2), where $\beta$ is the critical exponent for the staggered density, $\gamma$ for the staggered compressibility, and $\nu$ for the correlation length.