Ikeda Atsushi, Kawasaki Takeshi, Berthier Ludovic, Saitoh Kuniyasu, Hatano Takahiro
Graduate School of Arts and Sciences, University of Tokyo, Tokyo 153-8902, Japan.
Research Center for Complex Systems Biology, Universal Biology Institute, University of Tokyo, Komaba, Tokyo 153-8902, Japan.
Phys Rev Lett. 2020 Feb 7;124(5):058001. doi: 10.1103/PhysRevLett.124.058001.
We show that non-Brownian suspensions of repulsive spheres below jamming display a slow relaxational dynamics with a characteristic timescale that diverges at jamming. This slow timescale is fully encoded in the structure of the unjammed packing and can be readily measured via the vibrational density of states. We show that the corresponding dynamic critical exponent is the same for randomly generated and sheared packings. Our results show that a wide variety of physical situations, from suspension rheology to algorithmic studies of the jamming transition are controlled by a unique diverging timescale, with a universal critical exponent.
我们表明，在堵塞点以下，排斥性球体的非布朗悬浮液表现出缓慢的弛豫动力学，其特征时间尺度在堵塞点处发散。这个缓慢的时间尺度完全由未堵塞堆积的结构编码，并且可以通过振动态密度轻松测量。我们表明，对于随机生成的和剪切的堆积，相应的动态临界指数是相同的。我们的结果表明，从悬浮液流变学到堵塞转变的算法研究等各种各样的物理情况，都由一个独特的发散时间尺度控制，且具有一个通用的临界指数。
