Comparative study of damage spreading in the Ising model using heat-bath, glauber, and metropolis dynamics

Abstract

We study the time evolution of two configurations of the Ising model submitted to heat-bath (HB), Glauber (G), and two types of Metropolis (M and $$\tilde M$$ ) dynamics, analyzing the damage spreading on a square lattice. We find that the damages produced by the dynamics G and M are greater than those resulting from HB and $$\tilde M$$ dynamics. We also observe that, only for zero magnetic field, the damages of the dynamics G and M seem to be numerically equivalent.