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 –\alpha\lambda. 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 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 centered at 0 where this occurs, namely the expected value of is positive, respectively negative, in all translational invariant DLR measures at {\lambda>0}\cap I and {\lambda<0}\cap I

On the Gibbs phase rule in the Pirogov-Sinai regime

MEROLA, IMMACOLATA;
2004-01-01

Abstract

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 –\alpha\lambda. 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 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 centered at 0 where this occurs, namely the expected value of is positive, respectively negative, in all translational invariant DLR measures at {\lambda>0}\cap I and {\lambda<0}\cap I
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/19192
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