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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2405.12651 |
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| _version_ | 1866909207794548736 |
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| author | Pallister, James S. Pickering, Samuel H. Gangardt, Dimitri M. Abanov, Alexander G. |
| author_facet | Pallister, James S. Pickering, Samuel H. Gangardt, Dimitri M. Abanov, Alexander G. |
| contents | We consider directed polymers in 1+1 spatial dimension under action of an external repulsive potential along a line. Using the exact mapping onto imaginary time evolution of free fermions we find that for sufficiently strong potential the system of polymers undergoes a continuous configurational phase transition. The transition corresponds to merging empty regions in the dominant limit shape. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase transitions in full counting statistics of free fermions and directed polymers Pallister, James S. Pickering, Samuel H. Gangardt, Dimitri M. Abanov, Alexander G. Statistical Mechanics We consider directed polymers in 1+1 spatial dimension under action of an external repulsive potential along a line. Using the exact mapping onto imaginary time evolution of free fermions we find that for sufficiently strong potential the system of polymers undergoes a continuous configurational phase transition. The transition corresponds to merging empty regions in the dominant limit shape. |
| title | Phase transitions in full counting statistics of free fermions and directed polymers |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2405.12651 |