Depinning transition at the upper critical dimension

Details Depinning transition at the upper critical dimension Depinning transition at the upper critical dimension

2002-09-06

arxiv.org/abs/cond-mat/0209171v2

Phys. Rev. E 67, 057104 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, revtex4; improved presentation, new results added

Scientific paper

10.1103/PhysRevE.67.057104

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.

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