Universality in the Three-Dimensional Hard- Sphere Lattice Gas

Atsushi Yamagata

Published Jan 1, 1996• 6 citations

Abstract

PACS. 02.70.Lq(Monte Carlo and statistical methods) PACS. 05.50.+q(Lattice theory and statistics; Ising problems) PACS. 68.35.Rh(Phase transitions and critical phenomena) Abstract. We perform Monte Carlo simulations of the hard-sphere lattice gas on the body-centred cubic lattice with nearest neighbour exclusion. We get the critical exponents, β/ν = 0.311(8) and γ/ν = 2.38(2), where β, γ, and ν are the critical exponents of the staggered density, the staggered compressibility, and the correlation length, respectively. The values of the hard-sphere lattice gas on the simple cubic lattice agree with them but those of the threedimensional Ising model do not. This supports that the hard-sphere lattice gas does not fall into the Ising universality class in three dimensions. In this letter we study the hard-sphere lattice gas whose atoms interact with infinite repulsion of nearest neighbour pairs. The grand partition function is ΞV (z) = ∑ z N ZV (N), (1) N where z is an activity and ZV (N) is the number of configurations in which there are N atoms in the lattice of V sites. There are many studies on:

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