Large deviations of current for the symmetric simple exclusion process on a semi-infinite line and on an infinite line with a slow bond
Abstract
Two of the most influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process in the stationary state on a finite line coupled with two unequal reservoirs at the boundary, and 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. Our exact result enables us to address the corresponding problem on an infinite line in the presence of a slow bond and several related problems.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.00654
- arXiv:
- arXiv:2405.00654
- Bibcode:
- 2024arXiv240500654S
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Mathematical Physics
- E-Print:
- 8 pages, 4 figures (Supplementary Materials: 6 pages, 2 figures)