The Dynamic Exponent of the Two-Dimensional Ising Model and Monte Carlo Computation of the Sub-Dominant Eigenvalue of the Stochastic Matrix

1996/01/31 by M. P. Nightingale, H. W. J. Blöte · 1 citation
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevlett.76.4548

arxiv created 1996/03/22 · arxiv updated 2016/08/14

Abstract

We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of autocorrelation times. We apply this method to two-dimensional Ising systems with sizes up to 15 × 15, using single-spin flip dynamics, random site selection and transition probabilities according to the heat-bath method. From a finite-size scaling analysis of these autocorrelation times, the dynamical critical exponent z is determined as z=2.1665 (12).

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