{
  "id": "1102.2704",
  "version": "v1",
  "published": "2011-02-14T09:04:04.000Z",
  "updated": "2011-02-14T09:04:04.000Z",
  "title": "Diffusion with Stochastic Resetting",
  "authors": [
    "Martin R. Evans",
    "Satya N. Majumdar"
  ],
  "comment": "4 pages revtex, 1 .eps figure included",
  "journal": "Phys. Rev. Lett. 106, 160601 (2011)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r^*. Resetting also alters fundamentally the late time decay of the survival probability of a stationary target when there are multiple searchers: while the typical survival probability decays exponentially with time, the average decays as a power law with an exponent depending continuously on the density of searchers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-14T09:04:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "02.50.-r",
      "87.23.Ge"
    ],
    "keywords": [
      "stochastic resetting",
      "survival probability decays",
      "stationary target",
      "resetting rate",
      "nonequilibrium stationary state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "doi": "10.1103/PhysRevLett.106.160601",
      "year": 2011,
      "month": "Apr",
      "volume": 106,
      "number": 16,
      "pages": 160601
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvL.106p0601E"
    }
  }
}