Blockage hydrodynamics of one-dimensional driven conservative systems

• 成果类型: Article
• 署名作者: Bahadoran, C
• 署名单位: Universite Clermont Auvergne (UCA); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1079021465
• 发表日期: 2004
• 页码: 805-854
• 关键词: asymmetric exclusion process; particle-systems; continuum-limit; growth-models; EXISTENCE; zd

摘要

We consider an arbitrary one-dimensional conservative particle system with finite-range interactions and finite site capacity, governed on the hydrodynamic scale by a scalar conservation law with Lipschitz-continuous flux h. A finite-size perturbation restricts the local current to some maximum value phi. We show that the perturbed hydrodynamic behavior is entirely determined by phi if inf(h; phi) is first nondecreasing and then nonincreasing, which we believe is a necessary condition.