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Driven diffusive systems with disorder

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  • Barma, Mustansir

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.

Suggested Citation

  • Barma, Mustansir, 2006. "Driven diffusive systems with disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 22-33.
    • Handle: RePEc:eee:phsmap:v:372:y:2006:i:1:p:22-33
    DOI: 10.1016/j.physa.2006.05.002
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    Cited by:

    1. Garg, Shaweta & Dhiman, Isha, 2020. "Two-channel totally asymmetric simple exclusion process with site-wise dynamic disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Simão, Ricardo, 2021. "Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Gupta, Ankita & Gupta, Arvind Kumar, 2024. "Reservoir crowding in a dynamically disordered bidirectional system with narrow entrances," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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