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arXiv · 2011.00350

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

Christof Kuelske·Daniel Meissner
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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.

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Christof Kuelske, Daniel Meissner. 2020-10-31. Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime beta<3. https://doi.org/10.1007/s10955-021-02793-3

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