Title: Criticality of the random-site Ising model: Metropolis, Swendsen-Wang and Wolff Monte Carlo algorithms
Authors: D.Ivaneyko (Ivan Franko National University of Lviv, 79005 Lviv, Ukraine) , J.Ilnytskyi (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) , B.Berche (Laboratoire de Physique des Matériaux, Université Henri Poincaré, Nancy 1, 54506 Vandœuvre les Nancy Cedex, France) , Yu.Holovatch (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine; Institut für Theoretische Physik, Johannes Kepler Universität Linz, 4040 Linz, Austria; Ivan Franko National University of Lviv, 79005 Lviv, Ukraine)

We apply numerical simulations to study of the criticality of the 3D Ising model with random site quenched dilution. The emphasis is given to the issues not being discussed in detail before. In particular, we attempt a comparison of different Monte Carlo techniques, discussing regions of their applicability and advantages/disadvantages depending on the aim of a particular simulation set. Moreover, besides evaluation of the critical indices we estimate the universal ratio Γ⁺/Γ^- for the magnetic susceptibility critical amplitudes. Our estimate Γ⁺/Γ^- = 1.67 ± 0.15 is in a good agreement with the recent MC analysis of the random-bond Ising model giving further support that both random-site and random-bond dilutions lead to the same universality class.

Key words: Ising model, quenched disorder, Monte Carlo, cluster algorithms, criticality
PACS: 61.43.Bn, 64.60.Fr, 75.10.Hk