Dynamical Gibbs-non-Gibbs Transitions in Curie-Weiss Widom-Rowlinson Models

摘要

We consider the Curie -Weiss Widom-Rowlinson model for particles with spins and holes, with a repulsion strength beta > 0 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.