| Título: | Depinning of a polymer in a multi-interface medium |
| Autores: |
Caravenna, Francesco; University of Padova Pétrélis, Nicolas; University of Nantes |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Polymer Model; Pinning Model; Random Walk; Renewal Theory; Localization/delocalization transition 60K35; 60F05; 82B41. |
| Descripción: | 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. |
| Idioma: | No aplica |
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