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Exclusion processes with internal states.

Tobias Reichenbach1, Thomas Franosch, Erwin Frey

  • 1Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS), Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 Münich, Germany.

Physical Review Letters
|October 10, 2006
PubMed
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We present a new transport model with internal states applicable to traffic and spintronics. This model reveals a polarization phenomenon controllable by system rates, with findings validated by simulations.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Transport Phenomena

Background:

  • Driven exclusion processes are fundamental models for systems out of equilibrium.
  • Understanding nonequilibrium steady states is crucial in diverse fields like traffic flow and spintronics.
  • Controlling transport properties via system parameters remains a key challenge.

Purpose of the Study:

  • To introduce a generalized driven exclusion process incorporating internal states.
  • To investigate the control of nonequilibrium steady states through boundary and bulk rates.
  • To discover and analyze novel phenomena like polarization and domain wall dynamics.

Main Methods:

  • Development of a theoretical framework for driven exclusion processes with internal states.

Related Experiment Videos

  • Analytical description to derive exact phase diagrams.
  • Stochastic simulations to validate theoretical predictions.
  • Main Results:

    • Demonstration of controllable nonequilibrium steady states via external and internal rates.
    • Discovery of a significant polarization phenomenon under mesoscopic scaling.
    • Observation of associated domain wall motion and delocalization.

    Conclusions:

    • The introduced model provides a versatile platform for studying complex transport phenomena.
    • Exact phase diagrams offer precise control over system behavior.
    • The discovered polarization phenomenon highlights emergent collective behavior in driven systems.