Anomalous scaling in depinning transitions

Onuttom Narayan
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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
more » ... ng 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.
doi:10.1103/physreve.62.r7563 pmid:11138101 fatcat:6bano3whg5hnhakcqnbzpmyate