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Related Experiment Videos

Distribution of current in nonequilibrium diffusive systems and phase transitions.

T Bodineau1, B Derrida

  • 1Laboratoire de Probabilités et Modèles Aléatoires, CNRS-UMR 7599, Universités Paris VI & VII, 4 place Jussieu, Case 188, F-75252 Paris, Cedex 05, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
Summary

We analyzed diffusive lattice gases on a ring, finding a phase transition based on current deviation. This transition shifts density profiles from constant to time-dependent, confirmed by numerical data.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Non-equilibrium Systems

Background:

  • Diffusive lattice gases are fundamental models in statistical mechanics.
  • Understanding density profile stability is crucial for non-equilibrium systems.
  • Phase transitions in driven systems reveal complex emergent behaviors.

Purpose of the Study:

  • To investigate the stability of density profiles in diffusive lattice gases on a ring.
  • To identify and characterize phase transitions driven by current deviations.
  • To elucidate the physical mechanisms behind time-dependent density profiles.

Main Methods:

  • Analysis of diffusive lattice gases on a circular lattice.
  • Conditional stability analysis of density profiles based on current deviations.

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  • Numerical simulations to confirm theoretical predictions.

    • Main Results:

    • A phase transition is observed, dependent on the system's current.
    • Density profiles transition from a stable, constant state to a time-dependent state.
    • The time-dependent profile persists in the large drift limit, explaining prior results.

    Conclusions:

    • The study reveals a current-driven phase transition in lattice gases.
    • Time-dependent density profiles emerge and are stable under specific conditions.
    • This work provides a physical basis for understanding related models like the totally asymmetric exclusion process.