Depinning transition at the upper critical dimension

Abstract

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(x)^{2/3} for large x. Slightly above the depinning transition the force-velocity characteristics is described by the equation v ~ f |ln(f)|^{2/9}, while the correlation length behaves as L_{v} ~ f^{-1/2}|ln(f)|^{1/6}, where f=F/F_{c}-1 is the reduced driving force.

5 pages, revtex4; improved presentation, new results added

References in corpus (2)

• Depinning of elastic manifolds
• The depinning transition of a driven interface in the random-field Ising model around the upper critical dimension

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• Mean-Field Theories for Depinning and their Experimental Signatures
• On the critical region of long-range depinning transitions
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Depinning free of the elastic approximation