Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909443015311360 |
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| author | Zhang, Xin Wen, Fa-Kai |
| author_facet | Zhang, Xin Wen, Fa-Kai |
| contents | We study the asymmetric simple exclusion process with non-diagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries Zhang, Xin Wen, Fa-Kai Mathematical Physics We study the asymmetric simple exclusion process with non-diagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied. |
| title | Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2409.09618 |