Multispecies totally asymmetric simple exclusion process with long-range swap
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908511986778112 |
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| author | Lee, Eunghyun |
| author_facet | Lee, Eunghyun |
| contents | We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule. Although governed by local dynamics, the model induces effective long-range particle exchanges. We establish its integrability by proving two-particle reducibility and showing that the associated scattering matrix satisfies the Yang-Baxter equation. In addition, we derive explicit contour integral formulas for transition probabilities. These results position the long-range swap model as a novel exactly solvable multispecies process, characterized by distinctive algebraic features and opening new directions for further study in integrable probability and statistical mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00830 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multispecies totally asymmetric simple exclusion process with long-range swap Lee, Eunghyun Mathematical Physics Statistical Mechanics Probability We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule. Although governed by local dynamics, the model induces effective long-range particle exchanges. We establish its integrability by proving two-particle reducibility and showing that the associated scattering matrix satisfies the Yang-Baxter equation. In addition, we derive explicit contour integral formulas for transition probabilities. These results position the long-range swap model as a novel exactly solvable multispecies process, characterized by distinctive algebraic features and opening new directions for further study in integrable probability and statistical mechanics. |
| title | Multispecies totally asymmetric simple exclusion process with long-range swap |
| topic | Mathematical Physics Statistical Mechanics Probability |
| url | https://arxiv.org/abs/2509.00830 |