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, $β/ν= 0.311(8)$ 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 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.