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:Myriam Fradon, Sylvie Roelly
URN:urn:nbn:de:kobv:517-opus-49379
Series (Serial Number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2006, 01)
Document Type:Preprint
Language:English
Year of Completion:2005
Publishing Institution:Universität Potsdam
Release Date:2011/03/29
RVK - Regensburg Classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht