论文标题
弹性界面的不对称粗糙度
Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold
论文作者
论文摘要
通常认为，随机介质中驱动的弹性接口的粗糙度是由单个粗糙度指数$ζ$的特征。我们表明，由于驱动力的方向，具有局部，远距离和平均场弹性的弹性界面引起的对称性破坏，在默认阈值时表现出不对称的粗糙度。它表现为局部界面高度的偏斜分布，可以通过使用下降波动分析来量化以计算局部片段级级缩放指数的频谱。观察到不对称性是局部缩放指数对段高度与平均接口高度的差异的近似线性依赖性。
Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $ζ$. 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.
