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.
Author details: | Mathias RaflerGND |
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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): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |