arXiv:0807.4628 · Physical Review E

Scaling analysis of the site-diluted Ising model in two dimensions

Ralph Kenna B, Juan Jesus Ruiz-Lorenzo

Published Sep 29, 2008• 35 citations

Abstract

A combination of recent numerical and theoretical advances are applied to analyze the scaling behavior of the site-diluted Ising model in two dimensions, paying special attention to the implications for multiplicative logarithmic corrections. The analysis focuses primarily on the odd sector of the model (i.e., that associated with magnetic exponents), and in particular on its Lee-Yang zeros, which are determined to high accuracy. Scaling relations are used to connect to the even (thermal) sector, and a first analysis of the density of zeros yields information on the specific heat and its corrections. The analysis is fully supportive of the strong scaling hypothesis and of the scaling relations for logarithmic corrections.

DOI: 10.1103/physreve.78.031134

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