Universality in the Three-Dimensional Hard-Sphere Lattice Gas

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.

8 pages(2 LaTeX pictures included), LaTeX

References in corpus (2)

• Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice
• Absence of re-entrant phase transition of the antiferromagnetic Ising model on the simple cubic lattice: Monte Carlo study of the hard-sphere lattice gas

Cited by in corpus (3)

• A Monte Carlo study of the triangular lattice gas with the first- and the second-neighbor exclusions
• Density functional theory for nearest-neighbor exclusion lattice gasses in two and three dimensions
• Ising models on the hydrogen peroxide and other lattices