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Sharp thresholds for Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction. (English) Zbl 1391.82011

The authors consider the Gibbs-non-Gibbs transitions of the fuzzy Potts model on the \(d\)-dimensional torus with Kac interaction. The main result provides precise threshold values dividing Gibbsian and non-Gibbsian behavior.

MSC:

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
60F10 Large deviations
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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