Brownian Hard Balls submitted to an infinite rangeinteraction with slow decay

  • We consider an infinite system of hard balls in Rd undergoing Brownian motions and submitted to a pair potential with infinite range and quasi polynomial decay. It is modelized by an infinite-dimensional Stochastic Differential Equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with deterministic initial condition. We also show 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.

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Metadaten
Author details:Myriam Fradon, Sylvie RoellyGND
URN:urn:nbn:de:kobv:517-opus-49379
Publication series (Volume number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2006, 01)
Publication type:Preprint
Language:English
Publication year:2005
Publishing institution:Universität Potsdam
Release date:2011/03/29
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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