{
  "id": "1012.1393",
  "version": "v1",
  "published": "2010-12-07T03:51:28.000Z",
  "updated": "2010-12-07T03:51:28.000Z",
  "title": "Diffusive Propagation of High Energy Cosmic Rays in Galaxy: Effect of Hall Drift",
  "authors": [
    "Hideyoshi Arakida",
    "Shuichi Kuramata"
  ],
  "comment": "13 pages, 3 figures, accepted for publication in International Journal of Modern Physics A",
  "journal": "International Journal of Modern Physics A, Volume 26, Issue 05, pp. 911-923 (2011)",
  "doi": "10.1142/S0217751X11051378",
  "categories": [
    "astro-ph.HE",
    "hep-ph"
  ],
  "abstract": "We phenomenologically developed a propagation model of high energy galactic cosmic rays. We derived the analytical solutions by adopting the semi-empirical diffusion equation, proposed by Berezinskii {\\it et al.}(1990) and the diffusion tensor proposed by Ptuskin {\\it et al.}(1993). This model takes into account both the symmetric diffusion and the antisymmetric diffusion due to the particle Hall drift. Our solutions are an extension of the model developed by Ptuskin {\\it et al.} (1993) to a two-dimensional two-layer (galactic disk and halo) model, and they coincide completely with the solution derived by Berezinskii {\\it et al.} (1990) in the absence of antisymmetric diffusion due to Hall drift. We showed that this relatively simple toy model can be used to explain the variation in the exponent of the cosmic ray energy spectrum, $\\gamma$, around the knee $E \\approx 10^{15}$ eV.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-07T03:51:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "98.70.Sa",
      "96.50.S-",
      "96.50.sb"
    ],
    "keywords": [
      "high energy cosmic rays",
      "hall drift",
      "diffusive propagation",
      "high energy galactic cosmic rays",
      "antisymmetric diffusion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics A",
      "year": 2011,
      "volume": 26,
      "number": 5,
      "pages": 911
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 879734,
      "adsabs": "2011IJMPA..26..911A"
    }
  }
}