Non-local response in a lattice gas under a shear drive

Tridib Sadhu 1 Satya N. Majumdar 2 David Mukamel 3

Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.505005

In equilibrium, the effect of a spatially localised perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a generic feature of non-equilibrium. We study such non-local response in the stationary state of a lattice gas with a shear drive at the boundary which keeps the system out of equilibrium. We show that a perturbation in the form of a localised blockage at the boundary, induces algebraically decaying density and current profile. In two examples, non-interacting particles and particles with simple exclusion, we analytically derive the power-law tail of the profiles.

  • 1. IPHT - Institut de Physique Théorique (ex SPhT)
  • 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 3. Weizmann Institute