Phase transitions in the anisotropic Ashkin–Teller model

S. Bekhechi, A. Benyoussef, A. Elkenz, B. Ettaki and M. Loulidi

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 3, 503-514

Abstract: By using mean-field approximation (MFA) and Monte-Carlo (MC) simulations, we have studied the effect of the anisotropy on the phase diagrams of the Ashkin–Teller model (A.T.M.) on a hypercubic lattice. By varying the strength of the anisotropic parameter, partially ordered phases, connected by symmetry, and denoted by 〈σ〉 and 〈S〉 appear in all dimensions d>1 as in the three dimensional isotropic case for antiferromagnetic interactions. The MC simulations reduce the varieties of phase diagrams obtained from MFA to one variety. In d=2 the phase diagrams present Ising-like phase transitions while in d=3 a first order phase transition and then multicritical points appear.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:3:p:503-514

DOI: 10.1016/S0378-4371(98)00474-9

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