Universality in the Three-Dimensional Hard-Sphere Lattice Gas

Atsushi Yamagata

doi:10.1016/0378-4371(96)00121-5

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arXiv · cond-mat/9602006

Universality in the Three-Dimensional Hard-Sphere Lattice Gas

Atsushi Yamagata

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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, $\beta/\nu = 0.311(8)$ and $\gamma/\nu = 2.38(2)$, where $\beta$, $\gamma$, and $\nu$ 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 three-dimensional Ising model do not. This supports that the hard-sphere lattice gas does not fall into the Ising universality class in three dimensions.

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Atsushi Yamagata. 1996-02-02. Universality in the Three-Dimensional Hard-Sphere Lattice Gas. https://doi.org/10.1016/0378-4371(96)00121-5

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