Abstract
The authors 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. They obtain the phase diagram for the case of a square lattice. In this case they calculate the critical exponent v 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. They also show that one particular case of the non-equilibrium model studied here is equivalent to the majority vote model.
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