@article{EJP698,
author = {Francesco Caravenna and Nicolas Pétrélis},
title = {Depinning of a polymer in a multi-interface medium},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
keywords = {Polymer Model; Pinning Model; Random Walk; Renewal Theory; Localization/delocalization transition},
abstract = {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 Caravenna and Petrelis (2009), 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 $\{T_N\}_{N}$, showing that two transitions occur, when $T_N \approx N^{1/3}$ and when $T_N \approx \sqrt{N}$ respectively.},
pages = {no. 70, 2038-2067},
issn = {1083-6489},
doi = {10.1214/EJP.v14-698},
url = {http://ejp.ejpecp.org/article/view/698}}