{
  "id": "cond-mat/0211472",
  "version": "v1",
  "published": "2002-11-21T11:44:08.000Z",
  "updated": "2002-11-21T11:44:08.000Z",
  "title": "Matrix product approach for the asymmetric random average process",
  "authors": [
    "Frank Zielen",
    "Andreas Schadschneider"
  ],
  "comment": "17 pages, 1 figure",
  "doi": "10.1088/0305-4470/36/13/306",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider the asymmetric random average process which is a one-dimensional stochastic lattice model with nearest neighbour interaction but continuous and unbounded state variables. First, the explicit functional representations, so-called beta densities, of all local interactions leading to steady states of product measure form are rigorously derived. This also completes an outstanding proof given in a previous publication. Then, we present an alternative solution for the processes with factorized stationary states by using a matrix product ansatz. Due to continuous state variables we obtain a matrix algebra in form of a functional equation which can be solved exactly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-21T11:44:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymmetric random average process",
      "matrix product approach",
      "one-dimensional stochastic lattice model",
      "state variables",
      "nearest neighbour interaction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}