The motion of a second class particle for the tasep starting from a decreasing shock profile

• 成果类型: Article
• 署名作者: Mountford, T; Guiol, H
• 署名单位: Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Institut National Polytechnique de Grenoble
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051605000000151
• 发表日期: 2005
• 页码: 1227-1259
• 关键词: fluctuations

摘要

We prove a strong law of large numbers for the location of the second class particle in a totally asymmetric exclusion process when the process is started initially from a decreasing shock. This completes a study initiated in Ferrari and Kipnis [Ann. Inst. H. Poincare Probab. Statist. 13 (1995) 143-154].