Cluster dynamics and universality of Ising lattice gases

Abstract

Lattice gases with nearest-neighbour exclusion are studied by means of Monte Carlo simulations with an efficient cluster algorithm. The critical dynamics is consistent with a dynamical exponent z=0 in the case of Wolff-like cluster updates for square and simple-cubic lattices in the studied range of lattice sizes. We find the critical activity z c =0.72020(4) for the body-centred cubic lattice. The critical exponents y h =2.475(8) and y t =1.61(6) disagree with an earlier study, but they do agree with the known values for the three-dimensional Ising universality class.