The behavior of the specific entropy in the hydrodynamic scaling limit

• 成果类型: Article
• 署名作者: Kosygina, E
• 署名单位: Northwestern University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1015345597
• 发表日期: 2001
• 页码: 1086-1110
• 关键词: logarithmic sobolev inequality

摘要

The paper studies the behavior of the specific entropy for one-dimensional simple exclusion processes under the hydrodynamic scaling of time and space. It is shown that if the initial configurations possess a macroscopic profile then for each positive macroscopic time the specific microscopic entropy converges to the macroscopic entropy. The latter is defined in terms of the solution of the corresponding hydrodynamic equation.