Wang-landau monte carlo simulation of the blume-capel model

Abstract

We carry out a study of the two-dimensional Blume-Capel model using the Wang-Landau Monte Carlo method which estimates the density of states g E directly. This work validates the applicability of this method to multiparametric systems, since only one computer run is needed for all range of macroscopic parameters temperature, anisotropy, etc. . The location of the tricritical point is determined as kBTt /J=0.609 3 , Dt /J =1.966 2 and is in excellent agreement with previous estimates. The free energy and the entropy, which are not directly accessible by conventional Monte Carlo simulations, are obtained simply using g E .