Bolthausen, E; Caravenna, F; Tilière, B (2009). The quenched critical point of a diluted disordered polymer model. Stochastic Processes and their Applications, 119(5):1479-1504.
We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the quenched critical point of the model, showing that it is different from the annealed one. The proof is based on a rigorous renormalization procedure. Applications of our results to the problem of a copolymer near a selective interface are discussed.
We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the quenched critical point of the model, showing that it is different from the annealed one. The proof is based on a rigorous renormalization procedure. Applications of our results to the problem of a copolymer near a selective interface are discussed.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Physical Sciences > Modeling and Simulation Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2009 |
| Deposited On: | 04 Nov 2009 15:20 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Elsevier |
| ISSN: | 0304-4149 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.spa.2008.07.008 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2513116 |
Bolthausen, E