N/V-limit for Stochastic Dynamics in Continuous Particle Systems
| dc.creator | Grothaus, Martin | |
| dc.creator | Kondratiev, Yuri G. | |
| dc.creator | Röckner, Michael | |
| dc.date | 2005-12-20 | |
| dc.date.accessioned | 2026-07-07T06:55:34Z | |
| dc.date.available | 2026-07-07T06:55:34Z | |
| dc.description | We provide an $N/V$-limit for the infinite particle, infinite volume stochastic dynamics associated with Gibbs states in continuous particle systems on $\mathbb R^d$, $d \ge 1$. Starting point is an $N$-particle stochastic dynamic with singular interaction and reflecting boundary condition in a subset $Λ\subset {\mathbb R}^d$ with finite volume (Lebesgue measure) $V = |Λ| < \infty$. The aim is to approximate the infinite particle, infinite volume stochastic dynamic by the above $N$-particle dynamic in $Λ$ as $N \to \infty$ and $V \to \infty$ such that $N/V \to ρ$, where $ρ$ is the particle density. | |
| dc.description | 35 pages; BiBoS-Preprint No. 04-12-172; publication in preparation | |
| dc.identifier | https://arxiv.org/abs/math/0512464 | |
| dc.identifier | http://arxiv.org/abs/math/0512464 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106317 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60B12; 82C22; 60K35; 60J60; 60H10 | |
| dc.title | N/V-limit for Stochastic Dynamics in Continuous Particle Systems | |
| dc.type | text |