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Intermittency in dynamics of two-dimensional vortexlike defects

Lebedev1

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel and Landau Institute for Theoretical Physics, RAS, Kosygina 2, Moscow 117940, Russia.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Dynamical correlations of defects in thin films exhibit anomalous scaling below the Berezinskii-Kosterlitz-Thouless transition. These findings reveal complex behaviors in defect dynamics, resembling intermittency in turbulence.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Defects like vortices and disclinations significantly influence the properties of thin films.
  • Understanding defect dynamics is crucial for predicting material behavior, especially near phase transitions.

Purpose of the Study:

  • To investigate high-order dynamical correlations of defects in thin films.
  • To analyze the behavior of vorticity and disclinicity correlation functions below the Berezinskii-Kosterlitz-Thouless transition temperature.

Main Methods:

  • Utilizing the Langevin equation to model defect motion.
  • Calculating and analyzing dynamical correlation functions F(2n) for vorticity and disclinicity.

Main Results:

Related Experiment Videos

  • Demonstrated that F(2n) scales as y(2)/r(4n), where r is the characteristic scale and y is the renormalized fugacity.
  • Observed anomalous scaling exponents for F(2n) below the Berezinskii-Kosterlitz-Thouless transition temperature.
  • Found that nonsimultaneous correlation functions are significantly larger than simultaneous ones, resembling intermittency in turbulence.

Conclusions:

  • The study reveals distinct scaling behaviors for defect correlations in thin films.
  • The observed phenomena suggest a connection between defect dynamics and intermittency, offering new insights into complex systems.