Universal scaling for disordered viscoelastic matter near the onset of rigidity
Universal scaling for disordered viscoelastic matter near the onset of rigidity
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DOI：
10.1103/physreve.106.l052601
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发表时间：
2022-11-07
影响因子：
2.4
通讯作者：
Sethna, James P.
中科院分区：
文献类型：
--
作者：
Liarte, Danilo B.;Thornton, Stephen J.;Sethna, James P.
在相互作用的液体中，当它们经历向无序固体的转变时，刚性的开始与低频振动光谱的重排有关。在这封信中，我们推导出的尺度形式的奇异动力学响应的无序粘弹性网络附近的堵塞和刚性渗流。使用有效介质理论，我们提取临界指数，不变的标度组合，和分析公式的通用标度函数附近的这些过渡。我们的缩放形式描述了刚性和松软阶段以及交叉区域在各种刚性开始附近的空间和时间行为，包括过渡处不同的长度尺度和时间尺度。
The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this Letter, we derive scaling forms for the singular dynamical response of disordered viscoelastic networks near both jamming and rigidity percolation. Using effective-medium theory, we extract critical exponents, invariant scaling combinations, and analytical formulas for universal scaling functions near these transitions. Our scaling forms describe the behavior in space and time near the various onsets of rigidity, for rigid and floppy phases and the crossover region, including diverging length scales and timescales at the transitions.