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20 April 2024

» arxiv » 1701.7705

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Ensemble dependence of fluctuations and the canonical/micro-canonical equivalence of ensembles
Nicoletta Cancrini ; Stefano Olla ;
Date:	26 Jan 2017
Abstract:	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.
Source:	arXiv, 1701.7705
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