{
  "id": "2405.00654",
  "version": "v1",
  "published": "2024-05-01T17:32:34.000Z",
  "updated": "2024-05-01T17:32:34.000Z",
  "title": "Large deviations of current for the symmetric simple exclusion process on a semi-infinite line and on an infinite line with slow bonds",
  "authors": [
    "Kapil Sharma",
    "Soumyabrata Saha",
    "Sandeep Jangid",
    "Tridib Sadhu"
  ],
  "comment": "7 pages, 4 figures (Supplementary Materials: 8 pages, 2 figures)",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Two of the most influential exact results for classical one-dimensional diffusive transport are the exact results of 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. These results are obtained using the fluctuating hydrodynamics framework of the 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 region and several related problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-01T17:32:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric simple exclusion process",
      "semi-infinite line",
      "large deviations",
      "slow bonds",
      "exact result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}