{
  "id": "cond-mat/0502017",
  "version": "v1",
  "published": "2005-02-01T08:46:19.000Z",
  "updated": "2005-02-01T08:46:19.000Z",
  "title": "Diffusion Coefficient and Mobility of a Brownian Particle in a Tilted Periodic Potential",
  "authors": [
    "Kazuo Sasaki",
    "Satoshi Amari"
  ],
  "comment": "7 pages, 4 figures, submitted to J. Phys. Soc. Jpn",
  "doi": "10.1143/JPSJ.74.2226",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The Brownian motion of a particle in a one-dimensional periodic potential subjected to a uniform external force F is studied. Using the formula for the diffusion coefficient D obtained by other authors and an alternative one derived from the Fokker-Planck equation in the present work, D is compared with the differential mobility \\mu = dv/dF where v is the average velocity of the particle. Analytical and numerical calculations indicate that inequality D \\ge \\mu k_{B}T, with k_{B} the Boltzmann constant and T the temperature, holds if the periodic potential is symmetric, while it is violated for asymmetric potentials when F is small but nonzero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-01T08:46:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilted periodic potential",
      "diffusion coefficient",
      "brownian particle",
      "uniform external force",
      "asymmetric potentials"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}