Driven Diffusive Systems with Disorder

Abstract

We discuss recent work on the static and dynamical properties of the asymmetric exclusion process, generalized to include the effect of disorder. We study in turn: random disorder in the properties of particles; disorder in the spatial distribution of transition rates, both with a single easy direction and with random reversals of the easy direction; dynamical disorder, where particles move in a disordered landscape which itself evolves in time. In every case, the system exhibits phase separation; in some cases, it is of an unusual sort. The time-dependent properties of density fluctuations are in accord with the kinematic wave criterion that the dynamical universality class is unaffected by disorder if the kinematic wave velocity is nonzero.

To appear in Physica A, Proc. of International Workshop on Common Trends in Traffic Systems (IIT, Kanpur,2006)

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• Partially Asymmetric Exclusion Processes with Sitewise Disorder
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• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Asymmetric Exclusion Processes with Disorder: Effect of Correlations
• Totally asymmetric exclusion process with site-wise dynamic disorder
• Defect-induced phase transition in the asymmetric simple exclusion process
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• Stationary uphill currents in locally perturbed Zero Range Processes
• Boundary-induced abrupt transition in the symmetric exclusion process
• Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
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• Dynamics at barriers in bidirectional two-lane exclusion processes
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• Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
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• Anomalous transport in disordered exclusion processes with coupled particles
• Scaling approach to related disordered stochastic and free-fermion models
• Multi species asymmetric simple exclusion process with impurity activated flips
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• Condensation transition in a model with attractive particles and non-local hops
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• Self-similar inhomogeneous stationary states under constrained dynamics
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• Condensate formation in a zero-range process with random site capacities