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

Authors

M. P. Nightingale, University of Rhode IslandFollow
H. W.J. Blöte

Document Type

Article

Date of Original Version

6-10-1996

Abstract

We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of correlation 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 correlation times, the dynamic critical exponent z is determined as z=2.1665(12).

Citation/Publisher Attribution

Nightingale, M. P., & Blöte, H. W.J. (1996). Dynamic Exponent of the Two-Dimensional Ising Model and Monte Carlo Computation of the Subdominant Eigenvalue of the Stochastic Matrix. Physical Review Letters, 76(24), 4548-4551. doi: 10.1103/PhysRevLett.76.4548

Available at: http://dx.doi.org/10.1103/PhysRevLett.76.4548

Publisher Statement

©1996 The American Physical Society