Factorised Steady States in Mass Transport Models

Martin R. Evans 1, Satya Majumdar 2, 3, Royce K.P. Zia 4, 5

Journal of Physics A 37 (2004) L275-L280

We study a class of mass transport models where mass is transported in a preferred direction around a one-dimensional periodic lattice and is globally conserved. The model encompasses both discrete and continuous masses and parallel and random sequential dynamics and includes models such as the Zero-range process and Asymmetric random average process as special cases. We derive a necessary and sufficient condition for the steady state to factorise, which takes a rather simple form.

  • 1. School of Physics,
    University of Edinburgh
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 3. Laboratoire de Physique Théorique - IRSAMC (LPT),
    CNRS : UMR5152 – Université Paul Sabatier - Toulouse III
  • 4. Department of Physics and Center for Stochastic Processes in Science and Engineering,
    Virginia Tech
  • 5. FB-Physik,
    Universität Duisburg-Essen