Cluster Simulation of Lattice Gases
Abstract
Hard-core lattice gases can be simulated by means of cluster Monte Carlo algorithms. In particular we formulate a single-cluster algorithm for lattice gases with nearest neighbour-exclusion, in the absence of further neighbor interactions. In analogy with cluster algorithms for spin systems, this method quite efficiently suppresses critical slowing down. We use this method to derive statistically accurate finite-size data for lattice gases with nearest-neighbor exclusion on the simple-cubic and body-centered-cubic lattices. A finite-size-scaling analysis of these data indicates that these models belong to the Ising universality class. This result contradicts earlier analyses; we explain this disagreement in terms of corrections to scaling, which are quite prominent in these models.
Keywords
Ising Model Symmetry Operation Spin Variable Spin Configuration Bond ConfigurationPreview
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