{
  "id": "0905.3774",
  "version": "v1",
  "published": "2009-05-22T22:22:44.000Z",
  "updated": "2009-05-22T22:22:44.000Z",
  "title": "Transport properties of Brownian particles confined to a narrow channel by a periodic potential",
  "authors": [
    "Xinli Wang",
    "German Drazer"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We investigate the transport of Brownian particles in a two-dimensional potential under the action of a uniform external force. The potential is periodic in one direction and confines the particle to a narrow channel of varying cross-section in the other direction. We apply the standard long-wave asymptotic analysis in the narrow dimension and show that the leading order term is equivalent to that obtained previously from a direct extension of the Fick-Jacobs approximation. We also show that the confining potential has similar effects on the transport of Brownian particles to those induced by a solid channel. Finally, we compare the analytical results with Brownian dynamics simulations in the case of a sinusoidal variation of the width of the parabolic potential in the cross-section. We obtain excellent agreement for the marginal probability distribution, the average velocity of the Brownian particles and the asymptotic dispersion coefficient, over a wide range of Peclet numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-22T22:22:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.Jc",
      "47.60.Dx"
    ],
    "keywords": [
      "brownian particles",
      "narrow channel",
      "transport properties",
      "periodic potential",
      "standard long-wave asymptotic analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3226100",
      "journal": "Physics of Fluids",
      "year": 2009,
      "month": "Oct",
      "volume": 21,
      "number": 10,
      "pages": 2002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhFl...21j2002W"
    }
  }
}