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

Abstract

We perform the Monte Carlo simulations of the hard-sphere lattice gas on the simple cubic lattice with nearest neighbour exclusion. The critical activity is estimated, $z_{\mathrm{c}}=1.0588\pm 0.0003$. Using a relation between the hard-sphere lattice gas and the antiferromagnetic Ising model in an external magnetic field, we conclude that there is no re-entrant phase transition of the latter on the simple cubic lattice.

arXiv comment13 pages(4 LaTeX figures included), EDRUSBA-940921

Cited by in corpus (7)

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• Husimi lattice solutions and the coherent-anomaly-method analysis for hard-square lattice gases
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• Thermodynamic behavior of binary mixtures of hard spheres: Semianalytical solutions on a Husimi lattice built with cubes
• Fluid-fluid demixing and density anomaly in a ternary mixture of hard spheres
• Critical activity of the hard-sphere lattice gas on the body-centred cubic lattice