# UNIVERSALITY IN THE THREE-DIMENSIONAL HARD-SPHERE LATTICE GAS

@article{Yamagata1996UNIVERSALITYIT, title={UNIVERSALITY IN THE THREE-DIMENSIONAL HARD-SPHERE LATTICE GAS}, author={Atsushi Yamagata}, journal={Physica A-statistical Mechanics and Its Applications}, year={1996}, volume={231}, pages={495-498} }

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, s/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…

## 6 Citations

High-dimensional lattice gases

- Mathematics
- 2000

We investigate the critical behaviour of hard-core lattice gases in four, five and six dimensions by means of Monte Carlo simulations. In order to suppress critical slowing down, we use a geometrical…

Cluster Simulation of Lattice Gases

- Physics
- 1998

Hard-core lattice gases can be simulated by means of cluster Monte Carlo algorithms. In particular we formulate a single-cluster algorithm for lattice gases with nearest neighbour-exclusion, in the…

Density functional theory for nearest-neighbor exclusion lattice gases in two and three dimensions.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

Dimensional crossover is shown, which connects, for instance, the parallel hard cube system (three dimensional) with that of squares (two dimensional) and rods (one dimensional), and it is shown here that there are many more connections which can be established in this way.

Simultaneous analysis of several models in the three-dimensional Ising universality class.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

This work investigates several three-dimensional lattice models believed to be in the Ising universality class by means of Monte Carlo methods and finite-size scaling, and analyzes all the data simultaneously such that the universal parameters occur only once, leading to an improved accuracy.

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