Depinning of a polymer in a multi-interface medium
| dc.creator | Caravenna, Francesco | |
| dc.creator | Pétrélis, Nicolas | |
| dc.date | 2009-01-19 | |
| dc.date.accessioned | 2026-07-07T12:31:39Z | |
| dc.date.available | 2026-07-07T12:31:39Z | |
| dc.description | 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. | |
| dc.description | 27 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0901.2902 | |
| dc.identifier | http://arxiv.org/abs/0901.2902 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216518 | |
| dc.subject | Probability | |
| dc.subject | 60K35; 60F05; 82B41 | |
| dc.title | Depinning of a polymer in a multi-interface medium | |
| dc.type | text |