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Criterion for phase separation in one-dimensional driven systems.

Y Kafri1, E Levine, D Mukamel

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel 76100.

Physical Review Letters
|July 30, 2002
PubMed
Summary
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A new criterion predicts phase separation in driven one-dimensional systems by analyzing domain current size dependence. This finding aids in understanding complex system dynamics and material properties.

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Non-equilibrium systems

Background:

  • Phase separation is a fundamental phenomenon in many physical systems.
  • Driven systems, which are constantly supplied with energy, exhibit complex non-equilibrium behaviors.
  • One-dimensional systems offer simplified models to study complex phenomena like phase separation.

Purpose of the Study:

  • To propose a general criterion for phase separation in driven, density-conserving, one-dimensional systems.
  • To link phase separation to the steady-state current of domains within the system.
  • To provide a quantitative method for predicting phase separation.

Main Methods:

  • Developing a general criterion based on the size dependence of steady-state currents.

Related Experiment Videos

  • Establishing a correspondence between driven diffusive models and zero-range processes.
  • Verifying the criterion against existing analytical results.

    • Main Results:

    • A quantitative criterion for phase separation is conjectured.
    • The criterion successfully predicts phase separation in systems with available analytical solutions.
    • Predictions are extended to other relevant models.

    Conclusions:

    • The proposed criterion offers a robust method for identifying phase separation in driven 1D systems.
    • The link between domain currents and phase separation provides new insights into non-equilibrium statistical mechanics.
    • This work facilitates the study of phase separation in a broader range of complex systems.