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Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models. (arXiv:1809.11014v1 [math.PR])

来源于:arXiv
We consider the Curie-Weiss Widom-Rowlinson model for particles with spins and holes, with a repulsion strength beta between particles of opposite spins. We provide a closed solution of the model, and investigate dynamical Gibbs-non-Gibbs transitions for the time-evolved model under independent stochastic symmetric spin-flip dynamics. We show that, for sufficiently large beta after a transition time, continuously many bad empirical measures appear. These lie on (unions of) curves on the simplex whose time-evolution we describe. 查看全文>>