Saitoh Kuniyasu, Hatano Takahiro, Ikeda Atsushi, Tighe Brian P
Research Alliance Center for Mathematical Sciences, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan.
Department of Earth and Space Science, Osaka University, 560-0043 Osaka, Japan.
Phys Rev Lett. 2020 Mar 20;124(11):118001. doi: 10.1103/PhysRevLett.124.118001.
We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending on whether the transition is approached from the jammed or unjammed phase. This contrasts sharply with conventional dynamic critical scaling scenarios, where a single exponent characterizes both sides. We explain this surprising difference in terms of the vibrational density of states, which is a key ingredient of linear viscoelastic theory. The vibrational density of states exhibits an extra slow mode that emerges below jamming, which we utilize to demonstrate the anomalous exponent below jamming.
我们通过数值方法研究软无热盘状物中的应力松弛，以揭示系统接近堵塞点时的临界减速现象。描述松弛时间发散的指数，根据转变是从堵塞相还是非堵塞相接近而有显著差异。这与传统的动态临界标度情形形成鲜明对比，在传统情形中，单一指数表征两侧情况。我们根据态密度振动来解释这种惊人的差异，态密度振动是线性粘弹性理论的关键要素。态密度振动在堵塞点以下呈现出一种额外的慢模式，我们利用它来证明堵塞点以下的反常指数。
