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On the long times, large length scale behaviour of disordered systems

  • Jean-Philippe Bouchaud
  • Marc Mézard
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 492)

Abstract

We discuss the large scale effective potential for elastic objects in the presence of a random pinning potential. In the static approach, converging analytical results show that the large scale, low temperature free energy landscape consists in a succession of parabolic wells of random depth, matching on singular points where the effective force is discontinuous. These parabolas are themselves subdivided into smaller parabolas, corresponding to the motion of smaller length scales, in a hierarchical manner. Consequences for the dynamics of these pinned objects are underlined, and compared to the mean field theory of aging effects.

Keywords

Energy Landscape Flux Line Effective Force Large Length Scale Replica Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Jean-Philippe Bouchaud
    • 1
  • Marc Mézard
    • 2
  1. 1.Service de Physique de l’État CondenséCentre d’études de Saclay, Orme des MerisiersGif-sur-Yvette CedexFrance
  2. 2.Laboratoire de Physique Théorique de l’ENSParis Cedex 05France

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