Existence of long-range order in the steady state of a two dimensional, two-temperature XY model

Abstract

Monte Carlo simulations are used to show that the steady state of the d=2, two-temperature, diffusive XY model displays a continuous phase transition from a homogeneous disordered phase to a phase with long-range order. The long-range order exists although both the dynamics and the interactions are local, thus indicating the failure of a naive extension of the Mermin-Wagner theorem to nonequilibrium steady states. It is argued that the ordering is due to effective dipole interactions generated by the nonequilibrium dynamics.

11 pages, latex, 4 postscript figures in a separate uuencoded file, to appear in Phys.Rev.E, Rapid Comm

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