An infinite system of Brownian balls with infinite range interaction

Myriam Fradon, Sylvie Roelly and Hideki Tanemura

Stochastic Processes and their Applications, 2000, vol. 90, issue 1, 43-66

Abstract: We study an infinite system of Brownian hard balls, moving in and submitted to a smooth infinite range pair potential. It is represented by a diffusion process, which is constructed as the unique strong solution of an infinite-dimensional Skorohod equation. We also prove that canonical Gibbs states associated to the sum of the hard core potential and the pair potential are reversible measures for the dynamics.

Keywords: Gibbs; state; Interacting; particle; system; Hard; core; potential; Percolation; model; Skorohod; equation; Infinite; range; interaction (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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