The role of friction in statistics and scaling laws of avalanches
The role of friction in statistics and scaling laws of avalanches
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DOI：
10.1140/epje/s10189-021-00089-8
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发表时间：
2021-06
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影响因子：
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通讯作者：
Kuniyasu Saitoh
中科院分区：
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作者：
Kuniyasu Saitoh
通过数值模拟研究了二维摩擦粒子中雪崩的统计和标度规律。我们发现雪崩大小分布的临界指数是由接触颗粒之间的微观摩擦决定的，如果摩擦系数是有限的，指数更大，更接近平均场预测。我们发现，摩擦颗粒之间的微观“滑动”诱发了许多小雪崩，这增加了雪崩大小分布的斜率以及幂律指数。我们还分析了雪崩持续时间和最大应力下降率的统计和标度规律，并研究了应力下降率的功率谱。我们的数值结果表明，微观摩擦是平均场描述的关键因素，在实际材料中观察到的雪崩中起着至关重要的作用。图形抽象
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