{
  "id": "2110.09269",
  "version": "v2",
  "published": "2021-10-18T13:11:08.000Z",
  "updated": "2022-02-01T14:45:37.000Z",
  "title": "Exact closure and solution for spatial correlations in single-file diffusion",
  "authors": [
    "Aurélien Grabsch",
    "Alexis Poncet",
    "Pierre Rizkallah",
    "Pierre Illien",
    "Olivier Bénichou"
  ],
  "comment": "Updated version. To appear in Science Advances",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Single-file transport, where particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined systems, such as zeolites or carbon nanotubes. This anomalous behavior originates from strong bath-tracer correlations in 1D, which, despite extensive effort, have however remained elusive, because they involve an infinite hierarchy of equations. Here, for the Symmetric Exclusion Process, a paradigmatic model of single-file diffusion, we break the hierarchy and unveil a closed exact equation satisfied by these correlations, which we solve. Beyond quantifying the correlations, the central role of this key equation as a novel tool for interacting particle systems is further demonstrated by showing that it applies to out-of equilibrium situations, other observables and other representative single-file systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-01T14:45:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "single-file diffusion",
      "exact closure",
      "spatial correlations",
      "strong bath-tracer correlations",
      "symmetric exclusion process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}