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

Abstract

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 ${\mathit{T}}_{\mathit{c}}$ 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.