The simple-cubic lattice gas with nearest-neighbour exclusion: Ising universality

Abstract

The lattice gas with nearest neighbour-exclusion on the simple cubic lattice is studied by means of statistically accurate Monte Carlo simulations with an efficient cluster algorithm. Our results for critical exponents are y h = 2.47(1) and y t = 1.60(2). These results agree well with the three-dimensional Ising universality class. We explain the discrepancy with an earlier study. The critical activity is z c = 1.0559 (1). The size distribution of the clusters indicates that the percolation threshold of the cluster formation process of the Monte Carlo algorithm coincides with the critical point.