A Solvable Model of Interface Depinning in Random Media View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2001-10

AUTHORS

Jean Vannimenus, Bernard Derrida

ABSTRACT

We study the mean-field version of a model proposed by Leschhorn to describe the depinning transition of interfaces in random media. We show that evolution equations for the distribution of forces felt by the interface sites can be written directly for an infinite system. For a flat distribution of random local forces the value of the depinning threshold can be obtained exactly. In the case of parallel dynamics (all unstable sites move simultaneously), due to the discrete character of the interface heights allowed in the model, the motion of the center of mass is non-uniform in time in the moving phase close to the threshold, and the mean interface velocity vanishes with a square-root singularity. More... »

PAGES

1-23

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1012278408260

DOI

http://dx.doi.org/10.1023/a:1012278408260

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043557400


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