Exact analysis of the two-dimensional asymmetric simple exclusion process with attachment and detachment of particles
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909203827785728 |
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| author | Ishiguro, Yuki Sato, Jun |
| author_facet | Ishiguro, Yuki Sato, Jun |
| contents | The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model, most exact results are limited to one-dimensional systems. Recently, the exact steady state in the multi-dimensional ASEP has been proposed [1]. The research focused on the situation where the number of particles is conserved. In this paper, we consider the two-dimensional ASEP with the attachment and detachment of particles (ASEP-LK), where particle number conservation is violated. By employing the result in Ref. [1], we construct the exact steady state of the ASEP-LK and reveal its properties through the exact computation of physical quantities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact analysis of the two-dimensional asymmetric simple exclusion process with attachment and detachment of particles Ishiguro, Yuki Sato, Jun Statistical Mechanics Mathematical Physics The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model, most exact results are limited to one-dimensional systems. Recently, the exact steady state in the multi-dimensional ASEP has been proposed [1]. The research focused on the situation where the number of particles is conserved. In this paper, we consider the two-dimensional ASEP with the attachment and detachment of particles (ASEP-LK), where particle number conservation is violated. By employing the result in Ref. [1], we construct the exact steady state of the ASEP-LK and reveal its properties through the exact computation of physical quantities. |
| title | Exact analysis of the two-dimensional asymmetric simple exclusion process with attachment and detachment of particles |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2405.09261 |