On perturbation around closed exclusion processes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909324298682368 |
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| author | Watanabe, Masataka |
| author_facet | Watanabe, Masataka |
| contents | We derive the formula for the stationary states of particle-number conserving exclusion processes infinitesimally perturbed by inhomogeneous adsorption and desorption. The formula not only proves but also generalises the conjecture proposed in arXiv:1711.06949 to account for inhomogeneous adsorption and desorption. As an application of the formula, we draw part of the phase diagrams of the open asymmetric simple exclusion process with and without Langmuir kinetics, correctly reproducing known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02675 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On perturbation around closed exclusion processes Watanabe, Masataka Statistical Mechanics High Energy Physics - Theory Mathematical Physics We derive the formula for the stationary states of particle-number conserving exclusion processes infinitesimally perturbed by inhomogeneous adsorption and desorption. The formula not only proves but also generalises the conjecture proposed in arXiv:1711.06949 to account for inhomogeneous adsorption and desorption. As an application of the formula, we draw part of the phase diagrams of the open asymmetric simple exclusion process with and without Langmuir kinetics, correctly reproducing known results. |
| title | On perturbation around closed exclusion processes |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2406.02675 |