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Minimal current phase and universal boundary layers in driven diffusive systems.

J S Hager1, J Krug, V Popkov

  • 1Institut für Theoretische Physik, RWTH-Aachen, 52056 Aachen, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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Boundary-driven phase transitions in open diffusive systems are governed by current extremal principles. Minimal current phases emerge even with higher boundary currents, showing universal boundary layer forms confirmed by simulations.

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Complex Systems

Background:

  • Open driven diffusive systems exhibit complex phase behaviors.
  • Understanding phase transitions in non-equilibrium systems is crucial.
  • Boundary conditions significantly influence system dynamics.

Purpose of the Study:

  • Investigate boundary-driven phase transitions in open diffusive systems.
  • Characterize the phase diagram and governing principles.
  • Analyze the universality of boundary layers.

Main Methods:

  • Developed a theory based on an extremal principle for macroscopic current.
  • Utilized Monte Carlo simulations for stochastic particle hopping models.
  • Employed analytical methods for a related cellular automaton.

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Main Results:

  • Identified a generic phase diagram governed by current extremal principles.
  • Discovered minimal current phases in systems with multiple current extrema.
  • Demonstrated universal forms for critical minimal and maximal current phase boundary layers.
  • Discussed the impact of disorder on boundary layer profiles.

Conclusions:

  • The study provides a theoretical framework for boundary-driven phase transitions.
  • Theoretical predictions are validated by simulations and analytical models.
  • Boundary layer universality is a key finding in these systems.