Journal of Physics A Mathematical and General

Critical behaviour of the loop gas model on the square lattice

M. Karowski, Franz S. Rys

Published Sep 11, 1986• 7 citations

Abstract

The critical behaviour of the two-dimensional self-avoiding loop gas model with multiplicity m=1 (singly counted non-intersecting loops) is studied numerically on a square lattice using a recently developed Monte Carlo method. The critical exponents alpha , beta , gamma and delta are evaluated in the 'critical window' between the finite-size rounding and the non-critical ('correction-to-scaling') regime using a recently calculated accurate value of T c . Within error bars, Ising-like critical exponents of the loop gas are obtained.

DOI: 10.1088/0305-4470/19/13/025

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