Symmetric simple exclusion process with free boundaries

• 成果类型: Article
• 署名作者: De Masi, Anna; Ferrari, Pablo A.; Presutti, Errico
• 署名单位: University of L'Aquila; University of Buenos Aires; Universidade de Sao Paulo; Gran Sasso Science Institute (GSSI)
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-014-0546-z
• 发表日期: 2015
• 页码: 155-193
• 关键词: particle-systems; EQUATIONS

摘要

We consider the one dimensional symmetric simple exclusion process with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles occur at the position of the leftmost hole and at the same rate, independently, the rightmost particle dies. We prove convergence to a hydrodynamic limit and discuss its relation with a free boundary problem.