Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold

Study reveals a broken symmetry in the roughness of elastic interfaces physrevlett

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent. 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.

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