Anomalous scaling in depinning transitions

Abstract

It is demonstrated that the renormalization group (RG) flows of depinning transitions do not depend on whether the driving force or the system velocity is kept constant. This allows for a comparison between RG results and corresponding self-organized critical models. However, close to the critical point, scaling functions cross over to forms that can have singular behavior not seen in equilibrium thermal phase transitions. These can be different for the constant force and constant velocity driving modes, leading to different apparent critical exponents. This is illustrated by comparing extremal dynamics for interface depinning with RG results, deriving the change in apparent exponents. Thus care has to be exercised in such comparisons.

References in corpus (4)

• From Individual to Collective Pinning: Effect of Long-range Elastic Interactions
• Creep via dynamical functional renormalization group
• Avalanche Merging and Continuous Flow in a Sandpile Model
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Cited by in corpus (5)

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• From depinning transition to plastic yielding of amorphous media: A soft modes perspective
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• Activity statistics, avalanche kinetics, and velocity correlations in surface growth