Abstract

We employ the master-equation formalism with the dynamic pair approximation to study the kinetic ferromagnetic Ising model on a square lattice at zero temperature. We examine the self-organization phenomena of the system, and obtain the phase diagram induced by the competition between the Glauber and Kawasaki dynamics. We emphasize that the spin-exchange probability depends on the strength of exchange between spins, and discuss the effects of the spin-exchange strength in the Kawasaki process on the ordered ferromagnetic and antiferromagnetic states. We find that when the energy change associated with the spin exchange is less than zero, the exchange in the Kawasaki dynamics favours the ordered ferromagnetic state.

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