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arXiv · 2209.11569

Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold

Esko Toivonen·Matti Molkkari·Esa Räsänen·Lasse Laurson
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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.

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Esko Toivonen, Matti Molkkari, Esa Räsänen, Lasse Laurson. 2022-09-23. Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold. https://doi.org/10.1103/physrevlett.129.175701

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