Dynamics of a disordered, driven zero range process in one dimension

TL;DR

This paper investigates the dynamical behavior of a disordered driven zero range process in one dimension, revealing anomalous transport and condensate growth characteristics through analytical and numerical methods.

Contribution

It provides a detailed analysis of the dynamical properties and scaling functions of the zero range process with disorder, highlighting novel transport phenomena and condensate dynamics.

Findings

Transport properties are anomalous in certain density-disorder regions.

The scaling function for condensate growth is characterized.

Dynamical mass fluctuations are described both analytically and numerically.

Abstract

We study a driven zero range process which models a closed system of attractive particles that hop with site-dependent rates and whose steady state shows a condensation transition with increasing density. We characterise the dynamical properties of the mass fluctuations in the steady state in one dimension both analytically and numerically and show that the transport properties are anomalous in certain regions of the density-disorder plane. We also determine the form of the scaling function which describes the growth of the condensate as a function of time, starting from a uniform density distribution.