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)

References in corpus (3)

• Pinning and wetting transition for (1+1)-dimensional fields with Laplacian interaction
• A polymer in a multi-interface medium
• On the localized phase of a copolymer in an emulsion: supercritical percolation regime

Cited by in corpus (2)

• A polymer in a multi-interface medium
• Depinning of a polymer in a multi-interface medium