Nonaffine displacements below jamming under athermal quasistatic compression
Nonaffine displacements below jamming under athermal quasistatic compression
复制标题
非热准静态压缩下干扰下的非仿射位移
DOI：
10.1103/physreve.103.032902
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发表时间：
2021
影响因子：
2.4
通讯作者：
Hukushima Koji
中科院分区：
文献类型：
--
作者：
Ikeda Harukuni;Hukushima Koji
利用大量的数值模拟研究了无摩擦球形颗粒在堵塞情况下的临界性质，特别注意了非仿射部分的位移在无热准静态压缩过程中的变化。结果表明，非仿射位移的平方范数对干扰过渡点呈现幂律发散。讨论了这一临界指数与剪切粘度之间的可能联系。的参与比例的位移消失在热力学极限的过渡点，这意味着非仿射位移局部边缘的分形维数。此外，位移的分布具有幂律尾，其指数与分形维数有关。
Critical properties of frictionless spherical particles below jamming are studied using extensive numerical simulations, paying particular attention to the nonaffine part of the displacements during the athermal quasistatic compression. It is shown that the squared norm of the nonaffine displacement exhibits a power-law divergence toward the jamming transition point. A possible connection between this critical exponent and that of the shear viscosity is discussed. The participation ratio of the displacements vanishes in the thermodynamic limit at the transition point, meaning that the nonaffine displacements are localized marginally with a fractal dimension. Furthermore, the distribution of the displacement is shown to have a power-law tail, the exponent of which is related to the fractal dimension.