{
  "id": "cond-mat/0009157",
  "version": "v1",
  "published": "2000-09-11T19:27:42.000Z",
  "updated": "2000-09-11T19:27:42.000Z",
  "title": "Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order",
  "authors": [
    "F. C. Alcaraz",
    "R. Z. Bariev"
  ],
  "comment": "27 pages, 1 figure",
  "journal": "Braz. Journal of Physics, vol 30, pg 655-666 (2000)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The exact solution of the asymmetric exclusion problem with N distinct classes of particles (c = 1,2,...,N), with hierarchical order is presented. In this model the particles (size 1) are located at lattice points, and diffuse with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c' >c from holes (empty sites). We generalize and solve exactly this model by considering the molecules in each distinct class c =1,2,...,N with sizes s_c (s_c = 0,1,2,...), in units of lattice spacing. The solution is derived by a Bethe ansatz of nested type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-11T19:27:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solution",
      "hierarchical order",
      "asymmetric diffusion",
      "arbitrary size",
      "asymmetric exclusion problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1590/S0103-97332000000400004",
      "journal": "Brazilian Journal of Physics",
      "year": 2000,
      "month": "Dec",
      "volume": 30,
      "number": 4,
      "pages": 655
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000BrJPh..30..655A"
    }
  }
}