This is the second of two papers on a continuum version of the Potts model, where particles are points in a(d) , da parts per thousand yen2, with a spin which may take Sa parts per thousand yen3 possible values. Particles with different spins repel each other via a Kac pair potential of range gamma (-1), gamma > 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.
De Masi, A., Merola, I., Presutti, E., Vignaud, Y. (2009). Coexistence of ordered and disordered phases in potts models in the continuum. JOURNAL OF STATISTICAL PHYSICS, 134(2), 243-306 [10.1007/s10955-008-9677-x].
Coexistence of ordered and disordered phases in potts models in the continuum
PRESUTTI, ERRICO;
2009-01-01
Abstract
This is the second of two papers on a continuum version of the Potts model, where particles are points in a(d) , da parts per thousand yen2, with a spin which may take Sa parts per thousand yen3 possible values. Particles with different spins repel each other via a Kac pair potential of range gamma (-1), gamma > 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
