HYDRODYNAMIC LIMIT OF ONE-DIMENSIONAL EXCLUSION PROCESSES WITH SPEED CHANGE

• 成果类型: Article
• 署名作者: FUNAKI, T; HANDA, K; UCHIYAMA, K
• 署名单位: Institute of Science Tokyo; Tokyo Institute of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176990543
• 发表日期: 1991
• 页码: 245-265
• 关键词: uniqueness; time

摘要

Hydrodynamic behavior of one-dimensional homogeneous exclusion processes with speed change on periodic lattices Z/NZ, N = 1,2,3,..., is studied. For every reversible exclusion process with nearest neighbor jumps and local interactions of gradient type it is shown that under diffusion-type scaling in space and time the empirical density fields of the processes converge to a weak solution of a nonlinear diffusion equation as N goes to infinity. Two classes of examples of exclusion processes as stated are given.