ENSEMBLE DEPENDENCE OF FLUCTUATIONS AND THE CANONICAL/MICRO-CANONICAL EQUIVALENCE OF ENSEMBLES - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

ENSEMBLE DEPENDENCE OF FLUCTUATIONS AND THE CANONICAL/MICRO-CANONICAL EQUIVALENCE OF ENSEMBLES

Résumé

We study the equivalence of microcanonical and canonical ensembles in continuous systems, in the sense of the convergence of the corresponding Gibbs measures. This is obtained by proving a local central limit theorem and a local large deviations principle. As an application we prove a formula due to Lebowitz-Percus-Verlet. It gives mean square fluctuations of an extensive observable, like the kinetic energy, in a classical micro canonical ensemble at fixed energy.
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Dates et versions

hal-01447021 , version 1 (26-01-2017)
hal-01447021 , version 2 (27-08-2017)

Identifiants

  • HAL Id : hal-01447021 , version 1

Citer

Nicoletta Cancrini, Stefano Olla. ENSEMBLE DEPENDENCE OF FLUCTUATIONS AND THE CANONICAL/MICRO-CANONICAL EQUIVALENCE OF ENSEMBLES: Ensemble dependence of fluctuations. 2017. ⟨hal-01447021v1⟩
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