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Universality in the three-dimensional hard-sphere lattice gas

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  • Yamagata, Atsushi

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, ß/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.

Suggested Citation

  • Yamagata, Atsushi, 1996. "Universality in the three-dimensional hard-sphere lattice gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 495-498.
    • Handle: RePEc:eee:phsmap:v:231:y:1996:i:4:p:495-498
    DOI: 10.1016/0378-4371(96)00121-5
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