ON THE CRITICAL-BEHAVIOR OF THE CONTACT PROCESS IN DETERMINISTIC INHOMOGENEOUS ENVIRONMENTS

• 成果类型: Article
• 署名作者: MADRAS, N; SCHINAZI, R; SCHONMANN, RH
• 署名单位: University of Colorado System; University of Colorado at Colorado Springs; University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988598
• 发表日期: 1994
• 页码: 1140-1159
• 关键词: critical-points; percolation; models; field

摘要

We consider the contact process with inhomogeneous deterministic death rates. We prove the following: 1. Such models may have discontinuous transitions, in the sense of surviving at the critical point. 2. If the death rates are identically 1, except on a set which is small enough in a proper sense and where the death rates take a fixed value smaller than 1, then the critical point is identical to that of the homogeneous system. Extensions of the results to other (d + 1)-dimensional systems with d-dimensional deterministic inhomogeneities are also discussed.