A polymer in a multi-interface medium

F. Caravenna, N.R. Petrelis

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
78 Downloads (Pure)

Abstract

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity d¿R of the pinning interaction is constant, while the interface spacing T=TN 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 (TN)N and for fixed d>0. In particular, we show that a transition occurs at TN=O(log¿N). Our approach is based on renewal theory.
Original languageEnglish
Pages (from-to)1803-1839
JournalThe Annals of Applied Probability
Volume19
Issue number5
DOIs
Publication statusPublished - 2009

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