Large deviations for ideal quantum systems

Joel L. Lebowitz, Marco Lenci, Herbert Spohn

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

23 Zitate (Scopus)

Abstract

We consider a general d-dimensional quantum system of non-interacting particles in a very large (formally infinite) container. We prove that, in equilibrium, the fluctuations in the density of particles in a subdomain A of the container are described by a large deviation function related to the pressure of the system. That is, untypical densities occur with a probability exponentially small in the volume of A, with the coefficient in the exponent given by the appropriate thermodynamic potential. Furthermore, small fluctuations satisfy the central limit theorem.

OriginalspracheEnglisch
Seiten (von - bis)1224-1243
Seitenumfang20
FachzeitschriftJournal of Mathematical Physics
Jahrgang41
Ausgabenummer3
DOIs
PublikationsstatusVeröffentlicht - März 2000

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