A polymer in a multi-interface medium

F. Caravenna; N.R. Petrelis

doi:10.1214/08-AAP594

A polymer in a multi-interface medium

F. Caravenna, N.R. Petrelis

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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 language	English
Pages (from-to)	1803-1839
Journal	Annals of Applied Probability
Volume	19
Issue number	5
DOIs	https://doi.org/10.1214/08-AAP594
Publication status	Published - 2009

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title = "A polymer in a multi-interface medium",

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.",

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AU - Petrelis, N.R.

PY - 2009

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AB - 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.

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DO - 10.1214/08-AAP594

M3 - Article

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VL - 19

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JO - Annals of Applied Probability

JF - Annals of Applied Probability

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A polymer in a multi-interface medium

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