Dynamical properties of the two- and three-dimensional Ising models by 'damage spreading'

Abstract

The method of 'damage spreading' is used to measure the dynamic exponent z for both the two- and three-dimensional Ising models with heat bath dynamics. The authors also measure a new exponent alpha describing the rate at which a damage cloud grows. They report values of z=2.24+or-0.04 and alpha =0.77+or-0.11 in two dimensions, and z=2.202+or-0.03 and alpha =0.92+or-0.10 in three dimensions.