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Related Experiment Videos

Vortex dynamics in a coarsening two-dimensional XY model.

Hai Qian1, Gene F Mazenko

  • 1James Franck Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary
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The vortex velocity distribution in a Ginzburg-Landau model scales with average vortex speed, aligning with theoretical predictions. This includes a large-speed algebraic tail, confirming the model

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • The time-dependent Ginzburg-Landau model describes phase transitions and pattern formation.
  • Vortex dynamics are crucial in understanding coarsening phenomena in various physical systems.

Purpose of the Study:

  • To numerically determine the vortex velocity distribution function.
  • To compare numerical results with theoretical predictions for a specific model.

Main Methods:

  • Numerical simulations of a two-dimensional, nonconserved O(2) time-dependent Ginzburg-Landau model.
  • Analysis of the vortex velocity distribution function and its scaling properties.

Main Results:

  • The vortex velocity distribution function was successfully determined numerically.

Related Experiment Videos

  • The distribution function exhibits scaling with the average vortex speed.
  • The average vortex speed is inversely proportional to time after quench (t^x, with x near 1/2).
  • A large-speed algebraic tail was observed and found to agree with theoretical predictions.

    • Conclusions:

    • Numerical findings strongly support theoretical predictions for vortex velocity distribution.
    • The scaling behavior and algebraic tail provide validation for the Ginzburg-Landau model in describing coarsening dynamics.