Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917462558113792 |
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| author | Sharma, Kapil Saha, Soumyabrata Jangid, Sandeep Sadhu, Tridib |
| author_facet | Sharma, Kapil Saha, Soumyabrata Jangid, Sandeep Sadhu, Tridib |
| contents | Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the boundaries, and the other in the non-stationary state on an infinite line. We present the corresponding result for the intermediate geometry of a semi-infinite line coupled with a single reservoir. This result is obtained using the fluctuating hydrodynamics approach of macroscopic fluctuation theory and confirmed by rare event simulations using a cloning algorithm. We apply our exact result for solving several related challenging problems, namely, the full counting statistics in presence of a defect bond, exclusion process with localized injection, survival of a tagged particle in presence of an absorbing boundary, and the stretched exponential decay in a kinetically constrained model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00654 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond Sharma, Kapil Saha, Soumyabrata Jangid, Sandeep Sadhu, Tridib Statistical Mechanics Mathematical Physics Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the boundaries, and the other in the non-stationary state on an infinite line. We present the corresponding result for the intermediate geometry of a semi-infinite line coupled with a single reservoir. This result is obtained using the fluctuating hydrodynamics approach of macroscopic fluctuation theory and confirmed by rare event simulations using a cloning algorithm. We apply our exact result for solving several related challenging problems, namely, the full counting statistics in presence of a defect bond, exclusion process with localized injection, survival of a tagged particle in presence of an absorbing boundary, and the stretched exponential decay in a kinetically constrained model. |
| title | Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2405.00654 |