Depinning of a polymer in a multi-interface medium

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In this paper we consider a model which describes a polymer chain interacting with an infinity of equi-spaced linear interfaces. The distance between two consecutive interfaces is denoted by T = T_N and is allowed to grow with the size N of the polymer. When the polymer receives a positive reward for touching the interfaces, its asymptotic behavior has been derived in a previous paper, showing that a transition occurs when T_N \approx log(N). In the present paper, we deal with the so-called depinning case, i.e., the polymer is repelled rather than attracted by the interfaces. Using techniques from renewal theory, we determine the scaling behavior of the model for large N as a function of T_N, showing that two transitions occur, when T_N \approx N^{1/3} and when T_N \approx N^{1/2} respectively.
27 pages, 2 figures

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Probability, 60K35; 60F05; 82B41

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http://salesiana.dossiersoluciones.com/handle/123456789/216518

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2902
 http://arxiv.org/abs/0901.2902

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arXiv