Comparison of Monte Carlo Metropolis, Swendsen-Wang, and Wolff Algorithms in the Critical Region for the 2-dimensional Ising Model

Abstract

We measure the efficiency of the Metropolis, Swendsen-Wang, and Wolff algorithms in the critical region as characterized by the correlation time . This correlation time is then used to determine the dynamical critical exponent z using = L with L representing the linear dimension of the 2-dimensional Ising model.