Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime beta<3

Abstract

We consider the Curie-Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs-non-Gibbs transitions for a range of initial inverse temperatures beta<3, which covers the phase transition point beta=4 log 2 [8]. We show that finitely many types of trajectories of bad empirical measures appear, depending on the parameter beta, with a possibility of re-entrance into the Gibbsian regime, of which we provide a full description.

arXiv comment44 pages, 12 figures, there are two additional files: an overview graphic and source code for symbolic computation we used

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