Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Defect statistics in the two-dimensional complex Ginzburg-Landau model.

G F Mazenko1

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
Summary

Statistical correlations in the 2D complex Ginzburg-Landau model were studied. Researchers found defect velocity distributions similar to the time-dependent Ginzburg-Landau model, but different correlation functions due to spiral defect arms.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Nonlinear hydrodynamical approach to granular materials.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
See all related articles

Area of Science:

  • Complex systems physics
  • Nonlinear dynamics
  • Statistical mechanics

Background:

  • The time-dependent Ginzburg-Landau (TDGL) model is a standard for studying defect dynamics.
  • Understanding defect coarsening is crucial in various physical phenomena.

Purpose of the Study:

  • Investigate statistical correlations between defects in the 2D complex Ginzburg-Landau model.
  • Compare defect behavior in the complex Ginzburg-Landau model with the purely dissipative TDGL model.

Main Methods:

  • Analysis of the defect-coarsening regime.
  • Determination of the defect-velocity probability distribution.
  • Examination of the order parameter correlation function in the scaling regime.

Main Results:

Related Experiment Videos

  • The defect-velocity probability distribution exhibits a high-velocity tail consistent with the TDGL model.
  • Spiral arms of defects significantly alter the order parameter correlation function.
  • The scaling regime behavior differs markedly from the TDGL model results.

Conclusions:

  • The complex Ginzburg-Landau model shares some defect velocity characteristics with the TDGL model.
  • Defect topology, specifically spiral arms, introduces distinct scaling behaviors.
  • This study highlights the importance of model specifics in defect dynamics research.