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

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.

Revtex4, 5 pages including 2 figures; Revised version; To appear in Phys. Rev. Lett

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• Driven Diffusive Systems with Disorder
• Sample-Dependent Phase Transitions in Disordered Exclusion Models
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• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• The partially asymmetric zero range process with quenched disorder
• Disorder and non-conservation in a driven diffusive system
• Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
• Analytic study of the three-urn model for separation of sand
• Criticality and Condensation in a Non-Conserving Zero Range Process
• Two-point correlation function of an exclusion process with hole-dependent rates
• Coarsening dynamics in a two-species zero-range process
• Cluster-factorized steady states in finite range processes
• Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models
• Phase Separation Transition in a Nonconserved Two Species Model
• Scaling approach to related disordered stochastic and free-fermion models
• Exact and limit distributions of the largest fitness on correlated fitness landscapes
• Condensate formation in a zero-range process with random site capacities