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.
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De Masi, A., Merola, I., Presutti, E. et al. Coexistence of Ordered and Disordered Phases in Potts Models in the Continuum. J Stat Phys 134, 243–306 (2009). https://doi.org/10.1007/s10955-008-9677-x
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DOI: https://doi.org/10.1007/s10955-008-9677-x