Damage spreading in the fully frustrated square-lattice Ising model

The evolution of the Hamming distance (damage) for the fully frustrated Ising model on the square lattice is analyzed numerically within both Glauber and heat-bath dynamic frameworks. The chaotic regime, for which an infinitesimal initial perturbation propagates, is found at all temperatures in Glauber dynamics. Within the heat-bath scheme, three distinct regimes are observed according to the temperature range: (a) a low-temperature one, for which the damage propagates, presenting a dependence on the initial conditions; (b) an intermediate regime with damage propagation, but no dependence on the initial conditions; (c) a high-temperature region, at which the initial perturbation is always suppressed. Possible relations between the dynamic behavior and static properties of such system are discussed.