Field-induced dynamic phase transition in the Ising antiferromagnet on the triangular lattice

We study the spreading of damage D(t) in the antiferromagnetic Ising model on a triangular lattice in the presence of a magnetic field by using Glauber dynamics. Although the damage spreads (chaotic behavior) for all finite values of the field and temperature, there are two distinct field-temperature dependent chaotic regions: one where the final damage depends on its initial value D(0) and the other one which has the same final damage for all finite values of D(0). The dynamical critical line separating these regions coincides, within the precision limits of the present calculation, with the order-disorder critical frontier of the model obtained by a Monte-Carlo simulation.