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Related Experiment Videos

Depinning transition at the upper critical dimension.

Andrei A Fedorenko1, Semjon Stepanow

  • 1Fachbereich Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
Summary

We investigated quenched random field disorder effects on driven elastic interfaces near the depinning transition. The study reveals specific behaviors for displacement correlation and force-velocity characteristics above the critical dimension.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • Driven elastic interfaces exhibit complex dynamics near depinning transitions.
  • Understanding the impact of disorder is crucial for characterizing interface behavior.

Purpose of the Study:

  • To investigate the effects of quenched random field disorder on driven elastic interfaces.
  • To analyze the depinning transition at the upper critical dimension (d(c)=4).

Main Methods:

  • Employing the functional renormalization group (FRG) method.
  • Analyzing displacement correlation functions and force-velocity characteristics.

Main Results:

  • Displacement correlation function exhibits logarithmic dependence on distance: (ln xLambda(0))(2/3).

Related Experiment Videos

  • Force-velocity characteristics follow v approximately f|ln f|(2/9) above the depinning transition.
  • Correlation length scales as L(v) approximately f(-1/2)|ln f|(1/6) with reduced driving force f.

    • Conclusions:

    • Quenched disorder significantly alters the depinning transition dynamics.
    • The functional renormalization group provides accurate predictions for interface behavior in the critical dimension regime.