{
  "id": "2109.01807",
  "version": "v1",
  "published": "2021-09-04T07:46:15.000Z",
  "updated": "2021-09-04T07:46:15.000Z",
  "title": "Anomalous transport phenomenon of a charged Brownian particle under the thermal gradient and the magnetic field",
  "authors": [
    "Hiromichi Matsuyama",
    "Kunimasa Miyazaki"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "There is a growing interest in the stochastic processes of nonequilibrium systems subject to non-conserved forces, such as the magnetic forces acting on charged particles and the chiral self-propelled force acting on active particles. In this paper, we consider the stationary transport of non-interacting Brownian particles under a constant magnetic field in a position-dependent temperature background. We demonstrate the existence of the Nernst-like stationary density current perpendicular to both the temperature gradient and magnetic field, induced by the intricate coupling between the non-conserved force and the multiplicative noises due to the position-dependent temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-04T07:46:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "charged brownian particle",
      "anomalous transport phenomenon",
      "thermal gradient",
      "nernst-like stationary density current perpendicular"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}