论文标题
三维二聚体包装的机械和振动特性附近
Mechanical and Vibrational Properties of Three-Dimensional Dimer Packings Near the Jamming Transition
论文作者
论文摘要
我们全面研究了三维空间中二聚体包装的机械和振动特性，并特别关注抑制过渡附近的临界缩放行为。首先，我们确认填料分数对过渡的依赖性对纵横比，过渡时的等静态接触数以及过量接触数对过量密度的缩放依赖性。其次，我们研究弹性模量，散装和剪切模量，并建立它们的幂律缩放。最后，我们研究状态的振动密度及其特征频率。状态的振动密度在较低和高频区域显示了两个高原，它们的特征分别为旋转和翻译振动模式。低频高原的发作频率线性缩放到过度密度的平方根。机械和振动特性中的缩放定律在两维二聚体之间是一致的，并且与球体中的二聚体相同。
We comprehensively study mechanical and vibrational properties of dimer packings in three-dimensional space with particular attention on critical scaling behaviors near the jamming transition. First, we confirm the dependence of the packing fraction at the transition on the aspect ratio, the isostatic contact number at the transition, and the scaling dependence of the excess contact number on the excess density. Second, we study the elastic moduli, bulk and shear moduli, and establish power-law scaling of them. Finally, we study the vibrational density of states and its characteristic frequency. The vibrational density of states shows two plateaus in the lower- and higher-frequency regions, which are characterized by rotational and translational vibrational modes, respectively. The onset frequency of the lower-frequency plateau scales linearly to the square root of excess density. The scaling laws in the mechanical and vibrational properties are consistent between two- and three-dimensional dimers, and they are identical to those in spheres.
