We consider a system of infinitely many hard balls in R<sup>d</sup> 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.
| Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:672 |
| Date | January 2006 |
| Creators | Roelly, Sylvie, Fradon, Myriam |
| Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik, Extern. Extern |
| Source Sets | Potsdam University |
| Language | English |
| Detected Language | English |
| Type | Preprint |
| Format | application/pdf |
| Source | Stochastics and Dynamics. - 6 (2006), 1, S. 97 - 122 |
| Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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