Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media

Details Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media

2004-02-29

arxiv.org/abs/cond-mat/0403023v2

Phys. Rev. Lett. 93, 125701 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.93.125701

We study the rescaled probability distribution of the critical depinning force of an elastic system in a random medium. We put in evidence the underlying connection between the critical properties of the depinning transition and the extreme value statistics of correlated variables. The distribution is Gaussian for all periodic systems, while in the case of random manifolds there exists a family of universal functions ranging from the Gaussian to the Gumbel distribution. Both of these scenarios are a priori experimentally accessible in finite, macroscopic, disordered elastic systems.

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