A polymer in a multi-interface medium

A polymer in a multi-interface medium

Francesco Caravenna and Nicolas Pétrélis

Source: Ann. Appl. Probab. Volume 19, Number 5 (2009), 1803-1839.

Abstract

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity δ∈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 δ>0. In particular, we show that a transition occurs at T_N=O(log N). Our approach is based on renewal theory.

Primary Subjects: 60K35, 60F05, 82B41

Keywords: Localization/delocalization transition; pinning model; polymer model; random walk; renewal theory

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Permanent link to this document: http://projecteuclid.org/euclid.aoap/1255699544
Digital Object Identifier: doi:10.1214/08-AAP594

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