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 $\delta \in \mathbb{R}$ 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.

Published in at http://dx.doi.org/10.1214/08-AAP594 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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• A polymer in a multi-interface medium
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Cited by in corpus (7)

• Finite size scaling for homogeneous pinning models
• A polymer in a multi-interface medium
• Lectures on random polymers
• Localization of a one-dimensional simple random walk among power-law renewal obstacles
• Depinning of a polymer in a multi-interface medium
• A limit theorem for the survival probability of a simple random walk among power-law renewal traps
• Multi-level pinning problems for random walks and self-avoiding lattice paths