2002/09/30 by Andrei A. Fedorenko, Semjon Stepanow, S. Stepanow · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.057104
published as Phys. Rev. E 67, 057104 (2003) · 5 pages, revtex4; improved presentation, new results added
arxiv created 2003/04/01 · openalex publication_date 2003/05/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the effect of quenched random field disorder on a driven elastic interface close to the depinning transition at the upper critical dimension d(c)=4 using the functional renormalization group. We have found that the displacement correlation function behaves with distance x as (ln xLambda(0))(2/3) for large x. Slightly above the depinning transition the force-velocity characteristics are described by the equation v approximately f|ln f|(2/9), while the correlation length behaves as L(v) approximately f(-1/2)|ln f|(1/6), where f=F/F(c)-1 is the reduced driving force.