Large deviations from a kinetic limit

• 成果类型: Article
• 署名作者: Rezakhanlou, F
• 署名单位: University of California System; University of California Berkeley
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1998
• 页码: 1259-1340
• 关键词: discrete boltzmann-equation; particle-systems; global validity; rare-gas; vacuum

摘要

We study a one-dimensional particle system in which particles travel deterministically in between stochastic collisions. As the total number of particles tends to infinity, the empirical density converges to a solution of a discrete Boltzmann equation. We establish the large deviation principle for the convergence with a rate function that is given by a Variational formula. Some of the properties of the rate function are discussed and a nonvariational expression for the rate function is given.