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

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, $β/ ν$ = 0.313(9) and $γ/ ν$ = 2.37(2), where $β$ is the critical exponent for the staggered density, $γ$ for the staggered compressibility, and $ν$ for the correlation length.