An Isaac Newton Institute Workshop

Relaxation Dynamics of Macroscopic System

Disorder and non-conservation in a driven diffusive system

11th January 2006

Author: Evans, M (School of Physics, University of Edinburgh )

Abstract

The asymmetric exclusion process is a prototypical driven diffusive system. I will discuss a disordered version of the model in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. I will discuss the appearance of Griffiths singularities in a nonequilibrium steady state despite the absence of any transition in the pure model. The disorder is also shown to induce a stretched exponential decay of system density with stretching exponent \phi= 2/5.