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

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

2008-07-31

arxiv.org/abs/0807.5080v1

Physics

Mathematical Physics

57 pages, 1 figure

Scientific paper

10.1007/s10955-008-9677-x

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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