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arXiv · 0712.3426

A polymer in a multi-interface medium

Francesco Caravenna·Nicolas Pétrélis
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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 $δ\in \mathbb {R}$ 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 $δ>0$. 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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Francesco Caravenna, Nicolas Pétrélis. 2009-10-26. A polymer in a multi-interface medium. https://doi.org/10.1214/08-aap594

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