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...

Cluster Monte Carlo methods are especially useful for applications in the vicinity of phase transitions, because they suppress critical slowing down; this may reduce the required simulation times by orders of magnitude. In general, the way in which cluster methods work can be explained in terms...

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 yh = 2.47(1) and yt = 1.60(2). These results agree well with the...

We propose a new cluster algorithm for the Baxter–Wu model that significantly reduces critical slowing down. We examine the behavior of the created clusters as we vary the temperature and then specify dynamic exponents. Comparison is made with the Metropolis algorithm and with the other...