The European Physical Journal E ( IF 1.8 ) Pub Date : 2021-06-24 , DOI: 10.1140/epje/s10189-021-00089-8 Kuniyasu Saitoh 1
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Abstract
We investigate statistics and scaling laws of avalanches in two-dimensional frictional particles by numerical simulations. We find that the critical exponent for avalanche size distributions is governed by microscopic friction between the particles in contact, where the exponent is larger and closer to mean-field predictions if the friction coefficient is finite. We reveal that microscopic “slips” between frictional particles induce numerous small avalanches which increase the slope, as well as the power-law exponent, of avalanche size distributions. We also analyze statistics and scaling laws of the avalanche duration and maximum stress drop rates, and examine power spectra of stress drop rates. Our numerical results suggest that the microscopic friction is a key ingredient of mean-field descriptions and plays a crucial role in avalanches observed in real materials.
Graphic abstract
中文翻译：
摩擦在雪崩统计和标度定律中的作用
摘要
我们通过数值模拟研究二维摩擦粒子中雪崩的统计和缩放规律。我们发现雪崩尺寸分布的临界指数受接触颗粒之间的微观摩擦控制，如果摩擦系数有限，则指数更大且更接近平均场预测。我们揭示了摩擦粒子之间的微观“滑动”会引起许多小雪崩，从而增加雪崩尺寸分布的斜率和幂律指数。我们还分析了雪崩持续时间和最大应力下降率的统计和缩放规律，并检查了应力下降率的功率谱。
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