A POLYMER IN A MULTI-INTERFACE MEDIUM

• 成果类型: Article
• 署名作者: Caravenna, Francesco; Petrelis, Nicolas
• 署名单位: University of Padua
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/08-AAP594
• 发表日期: 2009
• 页码: 1803-1839
• 关键词: wetting models; random-walk; (1+1)-dimension; heteropolymer; diffusion; BEHAVIOR; phase

摘要

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity delta is an element of R of the pinning interaction is constant, while the interface spacing T = T(N) is allowed to vary with the size N of the polymer. Our main result is the explicit determination of the scaling behavior of the model in the large N limit, as a function of (T(N))(N) and for fixed delta > 0. In particular, we show that a transition occurs at T(N) = O (log N). Our approach is based on renewal theory.