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Pré-Publication, Document De Travail Année : 2008

Statistics of static avalanches in a random pinning landscape

Pierre Le Doussal
A. Alan Middleton
  • Fonction : Auteur

Résumé

We study the minimum-energy configuration of a d-dimensional elastic interface in a random potential tied to a harmonic spring. As a function of the spring position, the center of mass of the interface changes in discrete jumps, also called shocks or "static avalanches''. We obtain analytically the distribution of avalanche sizes and its cumulants within an epsilon=4-d expansion from a tree and 1-loop resummation, using functional renormalization. This is compared with exact numerical minimizations of interface energies for random field disorder in d=2,3. Connections to the Burgers equation and to dynamic avalanches are discussed.

Dates et versions

hal-00283798 , version 1 (30-05-2008)

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Pierre Le Doussal, A. Alan Middleton, Kay Joerg Wiese. Statistics of static avalanches in a random pinning landscape. 2008. ⟨hal-00283798⟩
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