Journal of Physics A Mathematical and General

The non-interacting hard-square lattice gas: Ising universality

G. Kamieniarz, Henk W. J. Blöte

Published Dec 7, 1993• 33 citations

Abstract

The critical exponents of the non-interacting hard-square lattice gas model are determined by means of series analysis and finite-size scaling. The series analysis leads to results for the exponents that are consistent with the expected Ising universal values. A scaling analysis is performed on different types of numerical finite-size data obtained by means of the transfer-matrix method. The results support Ising universality. A procedure based on conformal invariance reproduces the known Ising temperature and magnetic exponents within 10 -6 . Furthermore we estimate the critical density of the hard-square model as rho c =0.367 743 000 (5).

DOI: 10.1088/0305-4470/26/23/017

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