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arXiv · 0807.5080

Coexistence of ordered and disordered phases in Potts models in the continuum

Anna De Masi·Immacolata Merola·Errico Presutti·Yvon Vignaud
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Abstract

This is the second of two papers on a continuum version of the Potts model, where particles are points in $\mathbb R^d$, $d\ge 2$, with a spin which may take $S\ge 3$ possible values. Particles with different spins repel each other via a Kac pair potential of range $\ga^{-1}$, $\ga>0$. In this paper we prove phase transition, namely we prove that if the scaling parameter of the Kac potential is suitably small, given any temperature there is a value of the chemical potential such that at the given temperature and chemical potential there exist $S+1$ mutually distinct DLR measures.

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Anna De Masi, Immacolata Merola, Errico Presutti, Yvon Vignaud. 2008-07-31. Coexistence of ordered and disordered phases in Potts models in the continuum. https://doi.org/10.1007/s10955-008-9677-x

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