We consider a continuous gas in a d-dimensional rectangular box with a finite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenters are such that the Gibbs specification satisfies a certain mixing condition, then the spectral gap of the generator is strictly positive uniformly in the volume and boundary condition. The required mixing condition holds if, for instance, there is a convergent cluster expansion. (C) 2002 Editions scientifiques et medicales Elsevier SAS.

The spectral gap for a Glauber-type dynamics in a continuous gas / BERTINI MALGARINI, Lorenzo; N., Cancrini; Cesi, Filippo. - In: ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. - ISSN 0246-0203. - STAMPA. - 38:1(2002), pp. 91-108. [10.1016/s0246-0203(01)01085-8]

The spectral gap for a Glauber-type dynamics in a continuous gas

BERTINI MALGARINI, Lorenzo;CESI, Filippo
2002

Abstract

We consider a continuous gas in a d-dimensional rectangular box with a finite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenters are such that the Gibbs specification satisfies a certain mixing condition, then the spectral gap of the generator is strictly positive uniformly in the volume and boundary condition. The required mixing condition holds if, for instance, there is a convergent cluster expansion. (C) 2002 Editions scientifiques et medicales Elsevier SAS.
2002
birth and death processes; continuous systems; gibbs measures; spectral gap
01 Pubblicazione su rivista::01a Articolo in rivista
The spectral gap for a Glauber-type dynamics in a continuous gas / BERTINI MALGARINI, Lorenzo; N., Cancrini; Cesi, Filippo. - In: ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. - ISSN 0246-0203. - STAMPA. - 38:1(2002), pp. 91-108. [10.1016/s0246-0203(01)01085-8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/254530
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