2003/11/20 by Damien Vandembroucq, Rune Skoe, Stéphane Roux +1 · 3 citations
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Scientific Research and Discoveries #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physreve.70.051101
published as Physical Review E 70 (2004) 051101 · submitted to Phys. Rev. E
arxiv created 2003/11/20 · openalex publication_date 2004/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The depinning of an elastic line in a random medium is studied via an extremal model. The latter gives access to the instantaneous depinning force for each successive conformation of the line. Based on conditional statistics the universal and nonuniversal parts of the depinning force distribution can be obtained. In particular the singular behavior close to a (macroscopic) critical threshold is obtained as a function of the roughness exponent of the front. We show, moreover, that the advance of the front is controlled by a very tenuous set of subcritical sites. Extension of the extremal model to a finite temperature is proposed, the scaling properties of which can be discussed based on the statistics of depinning force at zero temperature. In particular a new temperature-dependent correlation length is shown to become relevant.