Infinite system of Brownian Balls: Equilibrium measures are canonical Gibbs

  • We consider a system of infinitely many hard balls in Rd undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional Stochastic Differential Equation with a local time term. We prove that the set of all equilibrium measures, solution of a Detailed Balance Equation, coincides with the set of canonical Gibbs measures associated to the hard core potential added to the smooth interaction potential.

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Metadaten
Author details:Myriam Fradon, Sylvie RoellyGND
URN:urn:nbn:de:kobv:517-opus-51594
Publication series (Volume number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2005, 02)
Publication type:Preprint
Language:English
Publication year:2005
Publishing institution:Universität Potsdam
Release date:2011/03/29
Tag:Canonical Gibbs measure; Stochastic Differential Equation; detailed balance equation; hard core potential; reversible measure
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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