On the phase diagram of the polymer model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916686866677760 |
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| author | Krishnan, Arjun Mkrtchyan, Sevak Neville, Scott |
| author_facet | Krishnan, Arjun Mkrtchyan, Sevak Neville, Scott |
| contents | In dimensions 3 or larger, it is a classical fact that the directed polymer model has two phases: Brownian behavior at high temperature, and non-Brownian behavior at low temperature. We consider the response of the polymer to an external field or tilt, and show that at fixed temperature, the polymer has Brownian behavior for some fields and non-Brownian behavior for others. In other words, the external field can induce the phase transition in the directed polymer model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the phase diagram of the polymer model Krishnan, Arjun Mkrtchyan, Sevak Neville, Scott Probability Mathematical Physics 60K37, 60K35 In dimensions 3 or larger, it is a classical fact that the directed polymer model has two phases: Brownian behavior at high temperature, and non-Brownian behavior at low temperature. We consider the response of the polymer to an external field or tilt, and show that at fixed temperature, the polymer has Brownian behavior for some fields and non-Brownian behavior for others. In other words, the external field can induce the phase transition in the directed polymer model. |
| title | On the phase diagram of the polymer model |
| topic | Probability Mathematical Physics 60K37, 60K35 |
| url | https://arxiv.org/abs/2402.12580 |