Scaling of dynamical susceptibility at the onset of rigidity for disordered viscoelastic matter
Scaling of dynamical susceptibility at the onset of rigidity for disordered viscoelastic matter
复制标题
无序粘弹性物质刚度开始时动态磁化率的缩放
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
J. Sethna
中科院分区：
文献类型：
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作者：
D. Liarte;S. Thornton;E. Schwen;I. Cohen;D. Chowdhury;J. Sethna
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戏剧性重排有关。在这封信中，我们推导出的无序粘弹性网络的奇异动力学响应的堵塞和刚性渗流附近的标度形式。利用有效介质理论，我们提取临界指数，不变标度组合和分析公式的通用标度函数附近的这些转变。我们的缩放形式描述的行为在空间和时间附近的刚性的各种发病，刚性和松软的阶段和交叉区域，包括分歧的长度和时间尺度的过渡。我们期望这些行为可以在从胶体悬浮液到“奇怪”金属的异常电荷密度波动的系统中测量。
The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a dramatic 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 and time scales at the transitions. We expect that these behaviors can be measured in systems ranging from colloidal suspensions to anomalous charge-density fluctuations of “strange” metals.