Mixing heat-bath and Glauber dynamics: damage spreading in the Ising model

Abstract

The authors study damage spreading in the Ising model, on a square lattice, by a Monte Carlo approach, using a general 'f-dynamics' (0<or=f<or=1) which reproduces, for f=0 the well known heat-bath dynamics and for f=1 Glauber dynamics. They find, for initially small damage, a critical value fc=0.50+or-0.03 as the threshold for damage spreading. For fc<f<or=1 the damage is non-zero only for Tc<T<T0(f), where Tc is the usual critical temperature and T0(f) rises with f like T0(f)-Tc infinity (f-fc)alpha ( alpha =0.83+or-0.08). For Tc<or=T the damage D(T,f) seems to satisfy the scaling relation D(T,f) approximately mod 1n(f-fc) mod -1T((1-Tc/T)/(f-fc)alpha ).