Journal of Physics A Mathematical and General

Anisotropy and restricted universality of critical phenomena

V. Dohm

Published Apr 19, 2006• 17 citations

Abstract

We study the φ 4 lattice model with anisotropic short-range interactions. We show that the nonuniversal finite-size scaling functions of the anisotropic φ 4 model in a d -dimensional rectangular geometry are determined by the universal finite-size scaling functions of the isotropic φ 4 theory in a d -dimensional parallelepiped. Predictions are made for the Binder cumulant. In the bulk limit two-scale factor universality is absent in those universal critical-point amplitude relations that involve the correlation length.

DOI: 10.1088/0305-4470/39/18/l02

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