Rev.Adv.Mater.Sci.(RAMS)
No 2, Vol. 14, 2007, pages 109-118

CRITICAL BEHAVIOR OF THE TWO-DIMENSIONAL RANDOMLY SITE-DILUTED ISING MODEL VIA WANG-LANDAU ALGORITHM

I.A. Hadjiagapiou, A. Malakis and S.S. Martinos

Abstract

The critical properties of the randomly site-diluted two-dimensional Ising model were studied using the Wang-Landau algorithm. The concentration of nonmagnetic sites was q = 0.1; the remaining sites were occupied by magnetic particles. The study was carried out in the appropriate restricted but dominant energy subspaces. The main effort was focused on the specific heat and magnetic susceptibility by using the density of states for the model for lattices with linear size L = 20-120. The finite size scaling behavior of the specific heat and susceptibility was studied. The ratio of the critical exponents (α/ν) is negative (consistent with the Harris criterion), while the ratio (γ/ν) appears to assume its pure Ising model value (weak universality).

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