Driven Diffusive Systems with Disorder

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1016/j.physa.2006.05.002

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.

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