A polymer in a multi-interface medium

Details A polymer in a multi-interface medium A polymer in a multi-interface medium

2007-12-20

arxiv.org/abs/0712.3426v2

Annals of Applied Probability 2009, Vol. 19, No. 5, 1803-1839

Mathematics

Probability

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

Scientific paper

10.1214/08-AAP594

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.

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