Dynamical critical exponent of the 3D Ising model

Abstract

Using Monte Carlo simulations we investigate the linear (equilibrium) dynamic critical behavior of L×L×L simple cubic Ising models with periodic boundary conditions. The critical exponent z is determined from the scaling behavior of the relaxation time as a function of lattice size. Our estimate of z=2.03±0.04 agrees well with the theoretical prediction obtained by ε expansion.