Universal distribution of threshold forces at the depinning transition

Details Universal distribution of threshold forces at the depinning transition Universal distribution of threshold forces at the depinning transition

2006-07-10

arxiv.org/abs/cond-mat/0607229v1

Phys. Rev. E 74, 041110 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 7 figures, revtex4

Scientific paper

10.1103/PhysRevE.74.041110

We study the distribution of threshold forces at the depinning transition for an elastic system of finite size, driven by an external force in a disordered medium at zero temperature. Using the functional renormalization group (FRG) technique, we compute the distribution of pinning forces in the quasi-static limit. This distribution is universal up to two parameters, the average critical force, and its width. We discuss possible definitions for threshold forces in finite-size samples. We show how our results compare to the distribution of the latter computed recently within a numerical simulation of the so-called critical configuration.

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