NONEQUILIBRIUM LATTICE MODELS - A CASE WITH EFFECTIVE HAMILTONIAN IN D-DIMENSIONS

The steady-state configurational distribution of an Ising-type family of competing dynamics lattice models is explicitly found for any dimen sion. These models are characterized by a spin-hip dynamics which is a linear superposition of transition rates. Each individual rate attemp ts to drive the system asymptotically to a different equilibrium state . In general, the stationary distribution of this kind of model is not known for dimensions higher than 1. However, for a particular type of rate, we show that the stationary state is a Gibbsian one with an eff ective HamiItonian whose coupling constants depend on the details of t he dynamics. As an application, some related magnetic impure models ar e studied.