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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2406.07998 |
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| _version_ | 1866916283610562560 |
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| author | Dotsenko, Victor |
| author_facet | Dotsenko, Victor |
| contents | In terms of the replica method we consider the low temperature limit of (2+1) directed polymers in a random potential. The proposed approach allows to compute the scaling exponent $θ$ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that $θ= 1/4$ which is slightly different from the zero-temperature numerical value which is close to $0.241$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07998 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling properties of (2+1) directed polymers in the low temperature limit Dotsenko, Victor Statistical Mechanics Disordered Systems and Neural Networks In terms of the replica method we consider the low temperature limit of (2+1) directed polymers in a random potential. The proposed approach allows to compute the scaling exponent $θ$ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that $θ= 1/4$ which is slightly different from the zero-temperature numerical value which is close to $0.241$. |
| title | Scaling properties of (2+1) directed polymers in the low temperature limit |
| topic | Statistical Mechanics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2406.07998 |