Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold

Abstract

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the driving force, elastic interfaces with local, long-range and mean-field elasticity exhibit asymmetric roughness. It is manifested as a skewed distribution of the local interface heights, and can be quantified by using detrended fluctuation analysis to compute a spectrum of local, segment-level scaling exponents. The asymmetry is observed as approximately linear dependence of the local scaling exponents on the difference of the segment height from the mean interface height.

arXiv comment6 pages, 4 figures, Supplemental Material containing 3 pages, 4 figures

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Cited by in corpus (3)

• On criticality of interface depinning and origin of "bump" in the avalanche distribution
• Height distribution of elastic interfaces in quenched random media
• Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces