Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models

Abstract

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.

arXiv comment25 pages, 7 figures

References in corpus (2)

• Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
• Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions

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• A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions
• Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime beta<3
• Gibbs-non Gibbs transitions in different geometries: The Widom-Rowlinson model under stochastic spin-flip dynamics