We consider extended Pirogov - Sinai models including lattice and continuum particle systems with Kac potentials. Call lambda an intensive variable conjugate to an extensive quantity alpha appearing in the Hamiltonian via the additive term - lambdaalpha. We suppose that a Pirogov - Sinai phase transition with order parameter alpha occurs at lambda = 0, and that there are two distinct classes of DLR measures, the plus and the minus DLR measures, with the expectation of a respectively positive and negative in the two classes. We then prove that lambda = 0 is the only point in an interval I of values of lambda centered at 0 where this occurs, namely the expected value of alpha is positive, respectively negative, in all translational invariant DLR measures at {lambda > 0} I and {lambda < 0} I.
Bovier, A., Merola, I., Presutti, E., & Zahradnik, M. (2004). On the Gibbs phase rule in the Pirogov-Sinai regime. JOURNAL OF STATISTICAL PHYSICS, 114, 1235-1267.
Tipologia: | Articolo su rivista |
Citazione: | Bovier, A., Merola, I., Presutti, E., & Zahradnik, M. (2004). On the Gibbs phase rule in the Pirogov-Sinai regime. JOURNAL OF STATISTICAL PHYSICS, 114, 1235-1267. |
IF: | Con Impact Factor ISI |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.ejc.2003.10.011 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2004 |
Titolo: | On the Gibbs phase rule in the Pirogov-Sinai regime |
Autori: | |
Autori: | Bovier, A; Merola, I; Presutti, E; Zahradnik, M |
Appare nelle tipologie: | 01 - Articolo su rivista |