论文标题
在Athermal准静态压缩下堵塞下方的非伴随位移
Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression
论文作者
论文摘要
使用广泛的数值模拟研究了卡米牙线下方无摩擦球形颗粒的临界特性，特别注意在静脉静态静态压缩过程中，对位移的非伴随部分。结果表明，非承物位移的平方规范表现出幂律对障碍物的差异。讨论了这种关键指数与剪切粘度之间的可能联系。过渡点在热力学极限中，位移的参与率消失，这意味着非承物位移的局部性略有局部，并具有分形维度。此外，位移的分布被证明具有幂律尾巴，其指数与分形维度有关。
Critical properties of frictionless spherical particles below jamming are studied using extensive numerical simulations, paying particular attention to the non-affine part of the displacements during the athermal quasi-static compression. It is shown that the squared norm of the non-affine 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 non-affine 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.
