This is the second of two papers on a continuum version of the Potts model, where particles are points in Rd , d ≥ 2, with a spin which may take S ≥ 3 possible values. Particles with different spins repel each other via a Kac pair potential of range γ −1, γ >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.
Coexistence of ordered and disordered phases in Potts models in the continuum
DE MASI, Anna;MEROLA, IMMACOLATA;
2009-01-01
Abstract
This is the second of two papers on a continuum version of the Potts model, where particles are points in Rd , d ≥ 2, with a spin which may take S ≥ 3 possible values. Particles with different spins repel each other via a Kac pair potential of range γ −1, γ >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.File in questo prodotto:
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