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Pinning force in active media.

D Pazó1, L Kramer, A Pumir

  • 1Institut Non Linéaire de Nice, 1361 route des Lucioles, F-06560 Valbonne, France. pazo@mpipks-dresden.mpg.de

Physical Review Letters
|November 5, 2004
PubMed
Summary
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Defects pin vortices in physical and biological systems. This study uses advection fields to quantify vortex-defect attraction, revealing two pinning mechanisms in excitable media and stronger pinning by unexcitable obstacles.

Area of Science:

  • Physics
  • Biology
  • Complex Systems

Background:

  • Vortex pinning by defects is crucial in superconductivity, superfluidity, and cardiac tissue propagation.
  • Understanding which defects act as pinning centers is a key challenge.

Purpose of the Study:

  • To develop a method for quantifying vortex-obstacle attraction using advection fields.
  • To investigate pinning mechanisms in excitable media and compare them to the real Ginzburg-Landau equation (RGLE).

Main Methods:

  • Utilizing an advection field to measure the attraction between vortices and obstacles.
  • Solving the real Ginzburg-Landau equation (RGLE) for a full analytical solution.
  • Analyzing pinning behavior in both excitable and unexcitable media.

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Main Results:

  • Identified two distinct vortex pinning mechanisms in excitable media.
  • Demonstrated strong analogies between excitable media and the RGLE.
  • Found that unexcitable obstacles exert a qualitatively stronger pinning force on vortices.

Conclusions:

  • The advection field method effectively quantifies vortex-defect interactions.
  • Results offer insights into controlling vortex behavior in various systems.
  • Proposed experimental validations in chemical active media and cardiac tissue.