Finite-size effects on the dynamics of the zero-range process

Shamik Gupta 1, Mustansir Barma 1, Satya N. Majumdar 2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 060101

We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed phase. The current fluctuations in the steady state show striking differences in the two phases. In the disordered phase, the variance of the integrated current shows damped oscillations in time due to the motion of fluctuations around the ring as a dissipating kinematic wave. In the condensed phase, this wave cannot propagate through the condensate, and the dynamics is dominated by the long-time relocation of the condensate from site to site.

  • 1. Department of Theoretical Physics,
    Tata institute of Fundamental Research
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud