论文标题
注意：干扰下的放松时间
Note: Relaxation time below jamming
论文作者
论文摘要
像其他关键现象一样，卡在放松时间$τ$的差异伴随着。最近对无摩擦球形颗粒的数值研究证明，$τ$与动态矩阵的最低非零特征值$λ_1$成反比。在本说明中，我们通过求解线性化的动态方程来得出$λ_1$以下$λ_1$的比例。由此产生的关键指数与以前的理论结果一致，因为将虚拟工作定理应用于简单的剪切，从而强调了在干扰下的松弛动力学的普遍性。
Like other critical phenomena, the jamming transition accompanies the divergence of the relaxation time $τ$. A recent numerical study of frictionless spherical particles proves that $τ$ is inversely proportional to the lowest non-zero eigenvalue $λ_1$ of the dynamical matrix. In this note, we derive the scaling of $λ_1$ below the jamming transition point $φ_J$ by solving the linearized dynamical equation. The resultant critical exponent agrees with a previous theoretical result for sheared suspension obtained by applying the virtual work theorem to a simple shear, highlighting the universality of the relaxation dynamics below jamming.
