First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension d≥3

• 成果类型: Article
• 署名作者: Janvresse, E
• 署名单位: Universite de Rouen Normandie
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1022855886
• 发表日期: 1998
• 页码: 1874-1912
• 关键词: asymmetric simple exclusion

摘要

The hydrodynamic limit of the symmetric simple exclusion process with speed change is given by a diffusive equation in the appropriate scale. Following the nongradient method introduced by Varadhan and the Navier-Stokes methods developed by Yau, we prove that in the same scale, the next order correction is given by a third order equation for dimension d greater than or equal to 3.