Spreading of damage: An unexpected disagreement between the sequential and parallel updatings in Monte Carlo simulations

Damage spreading in the nearest-neighbor Ising model on a triangular lattice, for ferro- and antiferromagnetic interactions, is investigated using Glauber dynamics. Two procedures for updating spins are employed, the sequential and parallel ones. (a) The sequential algorithm leads to a dynamic transition at a temperature very close to the usual static critical temperature Tc in the ferromagnetic case, whereas in the antiferromagnetic problem, no transition is found, suggesting that the equilibrium phase transition and the frozen-chaotic one are strongly correlated. (b) The parallel recipe is not able to distinguish the two interactions, giving a similar dynamic transition for both, at a temperature which is considerably different from the ferromagnetic Curie temperature.