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.
Author details: | Myriam Fradon, Sylvie RoellyGND |
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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): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |