Martin-Dynkin Boundaries of the Bose Gas

  • The Ginibre gas is a Poisson point process defined on a space of loops related to the Feynman-Kac representation of the ideal Bose gas. Here we study thermodynamic limits of different ensembles via Martin-Dynkin boundary technique and show, in which way infinitely long loops occur. This effect is the so-called Bose-Einstein condensation.

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Metadaten
Author details:Mathias RaflerGND
URN:urn:nbn:de:kobv:517-opus-51667
Publication series (Volume number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2008, 03)
Publication type:Preprint
Language:English
Publication year:2008
Publishing institution:Universität Potsdam
Release date:2011/04/01
Tag:Bose-Einstein condensation; Gibbs state; Loop space; Martin-Dynkin boundary; Point process
RVK - Regensburg classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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