Abstract
We analyze the stationary nonequilibrium state of a spin system evolving under combined flips at temperature ${\mathrm{\ensuremath{\beta}}}^{\mathrm{\ensuremath{-}}1}$ and exchanges at \ensuremath{\beta}=0. Computer simulations indicate that the phase transition changes, as the exchange rate \ensuremath{\Gamma} increases, from second to first order. We interpret this as a changeover from Ising behavior for small \ensuremath{\Gamma} to mean-field behavior for \ensuremath{\Gamma}\ensuremath{\rightarrow}\ensuremath{\infty} where the magnetization is discontinuous in the ``continuum limit.''
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