{
  "id": "1701.09008",
  "version": "v1",
  "published": "2017-01-31T12:21:59.000Z",
  "updated": "2017-01-31T12:21:59.000Z",
  "title": "Mean first-passage time of an anisotropic diffusive searcher",
  "authors": [
    "Levernier Nicolas",
    "Bénichou Olivier",
    "Voituriez Raphaël"
  ],
  "journal": "Journal of Physics A: Mathematical and Theoretical, Volume 50, Number 2 , 2016",
  "doi": "10.1088/1751-8121",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider an anisotropic needle-like Brownian particle with nematic symmetry confined in a $2D$ domain. For this system, the coupling of translational and rotational diffusion makes the process ${\\bf x} (t)$ of the positions of the particle non Markovian. Using scaling arguments, a Gaussian approximation and numerical methods, we determine the mean first passage time $\\langle\\mathbf{T}\\rangle$ of the particle to a target of radius $a$ and show in particular that $\\langle\\mathbf{T}\\rangle \\sim a^{-1/2}$ for $a\\to 0$, in contrast with the classical logarithmic divergence obtained in the case of an isotropic $2D$ Brownian particle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-31T12:21:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean first-passage time",
      "anisotropic diffusive searcher",
      "mean first passage time",
      "anisotropic needle-like brownian particle",
      "particle non markovian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}