Abstract
We study an infinite system of Brownian hard balls, moving in ℝd 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.
| Original language | English |
|---|---|
| Pages (from-to) | 43-66 |
| Number of pages | 24 |
| Journal | Stochastic Processes and their Applications |
| Volume | 90 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2000 Nov |
| Externally published | Yes |
Keywords
- Gibbs state
- Hard core potential
- Infinite range interaction
- Interacting particle system
- Percolation model
- Skorohod equation
ASJC Scopus subject areas
- Statistics and Probability
- Modelling and Simulation
- Applied Mathematics