Depinning of a polymer in a multi-interface medium
| Dublin Core | PKP Metadata Items | Metadata for this Document | |
| 1. | Title | Title of document | Depinning of a polymer in a multi-interface medium |
| 2. | Creator | Author's name, affiliation, country | Francesco Caravenna; University of Padova |
| 2. | Creator | Author's name, affiliation, country | Nicolas Pétrélis; University of Nantes |
| 3. | Subject | Discipline(s) | |
| 3. | Subject | Keyword(s) | Polymer Model; Pinning Model; Random Walk; Renewal Theory; Localization/delocalization transition |
| 3. | Subject | Subject classification | 60K35; 60F05; 82B41. |
| 4. | Description | 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. |
| 5. | Publisher | Organizing agency, location | |
| 6. | Contributor | Sponsor(s) | Swiss Scientic Foundation, University of Padova |
| 7. | Date | (YYYY-MM-DD) | 2009-09-28 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/698 |
| 10. | Identifier | Digital Object Identifier | 10.1214/EJP.v14-698 |
| 11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 14 |
| 12. | Language | English=en | |
| 14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
| 15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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