{
  "id": "2502.02509",
  "version": "v1",
  "published": "2025-02-04T17:28:57.000Z",
  "updated": "2025-02-04T17:28:57.000Z",
  "title": "Fluctuations of stochastic charged cellular automata",
  "authors": [
    "Žiga Krajnik",
    "Katja Klobas",
    "Bruno Bertini",
    "Tomaž Prosen"
  ],
  "comment": "35 pages, comments welcome",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic six-vertex model with one inert color. Typical charge current fluctuation at vanishing net charge follow a one-parameter distribution that interpolated between the distribution of the charged single-file class in the limit of pure reflection and a Gaussian distribution in the limit of pure transmission.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-04T17:28:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cellular automaton",
      "stochastic charged cellular automata",
      "exact full counting statistics",
      "distribution",
      "typical charge current fluctuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}