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Infinite system of Brownian balls : equilibrium measures are canonical GibbsRoelly, Sylvie, Fradon, Myriam January 2006 (has links)
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.
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Infinite system of Brownian Balls: Equilibrium measures are canonical GibbsFradon, Myriam, Roelly, Sylvie January 2005 (has links)
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.
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