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Journal of Physics A Mathematical and General

Tricritical relaxation of the hard squares model with attractive next-nearest-neighbour interactions

Enis Oḡuz

Published Jun 21, 1988• 6 citations
Publisher

Abstract

The tricritical relaxation of the hard squares model with attractive next-nearest-neighbour interactions is studied. The dynamic exponent z t of the model at its exactly known tricritical point is determined using the dynamic Monte Carlo renormalisation group method. The value of z t is found to be 2.18+or-0.11.
DOI
10.1088/0305-4470/21/12/021

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Baxter has solved a restricted class of square lattice gas models with nearest-neighbor exclusion (thus "hard squares") and next-nearest-neighbor interactions. Arguments are presented which demonstrate that the subspace spanned by his exact solution contains the line of tricritical points and the associated surface of first-order transitions of hard squares with attractive next-nearest-neighbor interactions. The tricritical exponents so identified confirm those obtained by Nienhuis for a dilute Ising model.
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