We present a solvable kinetic lattice model which includes microscopic disorder, namely, random exchange energies (between pairs of spins) fluctuating randomly with time. This, which may ideally model fast ionic diffusion in magnetic systems, impedes reaching equilibrium, in general. The resulting nonequilibrium steady states exhibit additional randomness which induces complex behavior, including reentrance phenomena reminiscent of spin-glass behavior.
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Torres et al. (1998) studied this question.
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