Polymer in a multi-interface medium with weak repulsion
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909340800122880 |
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| author | Elric, Angot |
| author_facet | Elric, Angot |
| contents | Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the temperature and the distance between interfaces goes to infinity. We give a full phase diagram for this model, and show that a new behaviour appears in this extension. Our key tool include new sharp results on the simple random walk evolving between interfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02009 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polymer in a multi-interface medium with weak repulsion Elric, Angot Probability 60K35, 60F05, 82B41 G.3.3; G.3.4; G.3.2 Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the temperature and the distance between interfaces goes to infinity. We give a full phase diagram for this model, and show that a new behaviour appears in this extension. Our key tool include new sharp results on the simple random walk evolving between interfaces. |
| title | Polymer in a multi-interface medium with weak repulsion |
| topic | Probability 60K35, 60F05, 82B41 G.3.3; G.3.4; G.3.2 |
| url | https://arxiv.org/abs/2310.02009 |