arXiv:cond-mat/0202142 · Journal of Physics A Mathematical and General

On the symmetry of universal finite-size scaling functions in anisotropic systems

Alfred Hucht

Published Jul 25, 2002• 29 citations

Abstract

We postulate a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation, which connects the properties of a finite two-dimensional (2D) system at criticality with generalized aspect ratio ρ > 1 to a system with ρ < 1. The symmetry is formulated within a finite-size scaling theory and expressions for several universal amplitude ratios are derived. The predictions are confirmed within the exactly solvable weakly anisotropic 2D Ising model and are checked within the strongly anisotropic 2D dipolar in-plane Ising model using Monte Carlo simulations.

DOI: 10.1088/0305-4470/35/31/103

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