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Related Experiment Videos

Disordered asymmetric simple exclusion process: mean-field treatment.

R J Harris1, R B Stinchcombe

  • 1Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom. harris@thphys.ox.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 25, 2004
PubMed
Summary

Disorder in nonequilibrium models creates a flat current-density regime and expands the phase diagram. This phenomenon is explained through generalized mappings and localization transformations in the asymmetric simple exclusion process.

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Area of Science:

  • Statistical Mechanics
  • Complex Systems

Background:

  • The asymmetric simple exclusion process is a fundamental model for nonequilibrium systems.
  • Disorder effects on system dynamics are crucial for understanding complex phenomena.

Purpose of the Study:

  • To investigate the impact of disorder on the asymmetric simple exclusion process.
  • To provide analytical and numerical treatments for disordered systems.

Main Methods:

  • Generalizing mean-field steady-state mapping to disordered systems.
  • Applying moving shock front arguments.
  • Taking the continuum limit and using a disordered Cole-Hopf mapping.

Main Results:

  • Disorder induces a flat regime in the steady-state current-density plot for periodic boundary conditions.

Related Experiment Videos

  • Disorder expands the high-current region of the phase diagram for open boundary conditions.
  • A localization transformation is induced by disorder, with Delta(C) mapping to an inverse localization length.

    • Conclusions:

    • Two complementary approaches elucidate the role of disorder in this fundamental model.
    • The findings offer a physical interpretation of disorder-induced localization.