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.
Author details: | Sylvie RoellyGND, Myriam Fradon |
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URN: | urn:nbn:de:kobv:517-opus-6720 |
Publication type: | Preprint |
Language: | English |
Publication year: | 2006 |
Publishing institution: | Universität Potsdam |
Release date: | 2006/04/07 |
Tag: | Canonical Gibbs measure; Stochastic Differential Equation; detailed balance equation; hard core potential; reversible measure |
Source: | Stochastics and Dynamics. - 6 (2006), 1, S. 97 - 122 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Extern / Extern | |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
External remark: | AMS Classifications: 60H10 , 60J60 , 60K35 published at Stochastics and Dynamics. - 6 (2006), 1, S. 97 - 122 doi: 10.1142/S0219493706001669 |