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Driven diffusive systems with disorder
Institution:1. Physics Department, Indian Institute of Technology, Kanpur 208016, India;2. Theoretical Condensed Matter Physics Division, and Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India;3. Physics Department, Indian Institute of Technology, Kanpur 208016, India;1. Departamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, Brazil;2. Departamento de Física, Universidade Federal de Minas Gerais, 31270-901, Belo Horizonte, MG, Brazil;1. Tech-X Corporation, 5621 Arapahoe Avenue, Boulder, CO, 80303, USA;2. Utah State University, Logan, UT, 84322, USA
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.
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