The Large Deviation Principle for the Kac Distribution

Lewis, J. T. and Zagrebnov, V. A. and Pulé, J. V. (1988) The Large Deviation Principle for the Kac Distribution. (Preprint)

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Abstract

We prove that the Large Deviation Principle holds for the distribution of the particle number density (the Kac distribution) whenever the free energy density exists in the thermodynamic limit. We use this result to give a new proof of the Large Deviation Principle for the Kac distribution of the free Boson gas. In the case of mean-field models, non-convex rate functions can arise; this is illustrated in a model previously studied by E.B. Davies.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:17
Last Modified: 23 Jul 2018 13:09
URI: http://dair.dias.ie/id/eprint/794

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