Infinite system of Brownian balls : equilibrium measures are canonical Gibbs
- We consider a system of infinitely many hard balls in R<sup>d 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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| Verfasserangaben: | Sylvie RoellyGND, Myriam Fradon |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-6720 |
| Publikationstyp: | Preprint |
| Sprache: | Englisch |
| Erscheinungsjahr: | 2006 |
| Veröffentlichende Institution: | Universität Potsdam |
| Datum der Freischaltung: | 07.04.2006 |
| Freies Schlagwort / Tag: | Canonical Gibbs measure; Stochastic Differential Equation; detailed balance equation; hard core potential; reversible measure |
| Quelle: | Stochastics and Dynamics. - 6 (2006), 1, S. 97 - 122 |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Extern / Extern | |
| DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Externe Anmerkung: | AMS Classifications: 60H10 , 60J60 , 60K35 published at Stochastics and Dynamics. - 6 (2006), 1, S. 97 - 122 doi: 10.1142/S0219493706001669 |
