High-dimensional lattice gases

J. R. Heringa*, H. W J Blöte, E. Luijten

*Corresponding author for this work

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We investigate the critical behaviour of hard-core lattice gases in four, five and six dimensions by means of Monte Carlo simulations. In order to suppress critical slowing down, we use a geometrical cluster Monte Carlo algorithm. In particular, nearest-neighbour-exclusion lattice gases on simple hypercubic lattices are investigated. These models undergo Ising-like ordering transitions where the majority of the lattice-gas particles settle on one of two sublattices. A finite-size-scaling analysis of the simulation data confirms that these lattice gases display classical critical behaviour. The results agree with the renormalization predictions at and above the upper critical dimensionality. In particular, the predicted value of the Binder cumulant is confirmed.

Original languageEnglish (US)
Pages (from-to)2929-2941
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number15
DOIs
StatePublished - Apr 21 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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