Title

Statistics of Static Avalanches in a Random Pinning Landscape

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Pierre Le Doussal, CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure
Kay Jorg Wiese, CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure

Document Type

Article

Date

3-7-2008

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

4 pages, 5 figures More information at http://arxiv.org/abs/0803.1142

Recommended Citation

Middleton, Alan; Doussal, Pierre Le; and Wiese, Kay Jorg, "Statistics of Static Avalanches in a Random Pinning Landscape" (2008). Physics - All Scholarship. 178.
https://surface.syr.edu/phy/178

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.