Dynamical phase transitions in the classical Heisenberg model

Damage spreading in the 2D and 3D Heisenberg model is considered. For the 3D model, there is critical temperature T1=1.15 between a frozen phase and a chaotic phase at low temperature. There is another critical temperature T2=0.3 below which the final damage depends on its initial value. For the 2D case, there is a transition at T0=0.5 between a frozen phase and a low-temperature chaotic phase which might be characterized by the existence of infinite critical points.