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

Source

Harvested from Arxiv.org

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

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