Convergence and local equilibrium for the one-dimensional nonzero mean exclusion process

• 成果类型: Article
• 署名作者: Bahadoran, C.; Mountford, T. S.
• 署名单位: Universite Clermont Auvergne (UCA); Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-005-0484-x
• 发表日期: 2006
• 页码: 341-362
• 关键词: attractive particle-systems; limit

摘要

We consider finite-range, nonzero mean, one-dimensional exclusion processes on Zeta. We show that, if the initial configuration has ``density'' alpha, then the process converges in distribution to the product Bernoulli measure with mean density alpha. From this we deduce the strong form of local equilibrium in the hydrodynamic limit for non-product initial measures.