{
  "id": "1505.01287",
  "version": "v1",
  "published": "2015-05-06T08:55:46.000Z",
  "updated": "2015-05-06T08:55:46.000Z",
  "title": "Dynamical properties of single-file diffusion",
  "authors": [
    "P. L. Krapivsky",
    "Kirone Mallick",
    "Tridib Sadhu"
  ],
  "comment": "20 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the statistics of a tagged particle in single-file diffusion, a one-dimensional interacting infinite-particle system in which the order of particles never changes. We compute the two-time correlation function for the displacement of the tagged particle for an arbitrary single-file system. We also discuss single-file analogs of the arcsine law and the law of the iterated logarithm characterizing the behavior of Brownian motion. Using a macroscopic fluctuation theory we devise a formalism giving the cumulant generating functional. In principle, this functional contains the full statistics of the tagged particle trajectory---the full single-time statistics, all multiple-time correlation functions, etc. are merely special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-06T08:55:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "single-file diffusion",
      "dynamical properties",
      "particle trajectory-the full single-time statistics",
      "tagged particle trajectory-the full single-time",
      "multiple-time correlation functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150501287K"
    }
  }
}