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Scaling law governing the roughness of the swash edge line

机译:控制斜边线粗糙度的比例定律

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摘要

The paper is devoted to the analysis of the shape of the swash edge line. Formation of the swash boundary is treated as an interfacial phenomenon. The simplest quantitative characteristic of the roughness of interface is its width w, defined as the root-mean-square fluctuation around the average position. For rough interfaces, the scaling with size of the system L is observed in the form w(L)∝Lζ. The concept of scaling supplies a simple framework for classifying interfaces. It is suggested that the fine structure of the swash boundary results from the combined action of the pinning force applied by random defects of the beach and elasticity of distorted swash boundary. The roughness of the swash front was studied at the Mediterranean Sea coast for uprush and backwash flows. Value of exponent ζ for receding swash front line was 0.64 ± 0.02, when in the case of advancing swash the value 0.73 ± 0.03 was calculated. The scaling exponent established for the receding phase of the swash is very close to the values of the exponent established for the roughness of the triple line for water droplets deposited on rough surfaces, crack propagation front in Plexiglas, and for the motion of a magnetic domain walls.
机译:本文致力于斜边线形状的分析。斜流边界的形成被视为界面现象。界面粗糙度的最简单的定量特征是其宽度w,其宽度定义为围绕平均位置的均方根波动。对于粗糙的界面,观察到的系统L随尺寸的缩放比例为w(L)∝L ζ。缩放的概念为接口分类提供了一个简单的框架。提出了斜交边界的精细结构是由海滩随机缺陷施加的钉扎力和变形的斜交边界的弹性共同作用的结果。在地中海沿岸研究了冲刷锋面的粗糙度,以分析涌流和反冲流。斜线后移的指数ζ值为0.64±0.02,斜线前进时为0.73±0.03。为斜盘的后退阶段建立的结垢指数非常接近为沉积在粗糙表面上的水滴,有机玻璃中的裂纹扩展前沿以及磁畴运动的三重线的粗糙度建立的指数值墙壁。

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