NONEQUILIBRIUM ISING-MODEL WITH COMPETING GLAUBER DYNAMICS

We consider a kinetic Ising model with ferromagnetic interactions that evolves in time according to two competing Glauber dynamics at different temperatures. The steady states of this non-equilibrium model are studied by using a dynamic pair approximation. When the temperatures are low enough the system orders in a ferromagnetic state, but if one of the temperatures is allowed to be negative the system may have an antiferromagnetic order. We obtain the phase diagram for the case of a square lattice. In this case we calculate the critical exponent nu by using a mean field renormalization group method. The numerical results indicate that the model falls into the same universality class of the equilibrium Ising model. We also show that one particular case of the non-equilibrium model studied here is equivalent to the majority vote model.