论文标题
无序粘弹性物质的通用缩放II：崩溃，全球行为和时空特性
Universal scaling for disordered viscoelastic matter II: Collapses, global behavior and spatio-temporal properties
论文作者
论文摘要
粘弹性材料无处不在，无处不在，具有引人入胜的不变缩放特性。在同伴文章中，我们为刚性发作附近的无序弹性系统动态敏感性的临界行为提供了全面的新结果。在这里，我们提供了纵向反应的奇异尺度形式的衍生形式的其他细节，这些形式在干扰和刚度渗透附近。然后，我们讨论与这些形式相关的全局方面，并在刚性和软盘阶段对未阻尼和过度阻尼动力学进行缩放崩溃图。我们还得出了几个量的通用缩放函数，例如横向和密度响应，弹性模量，粘度和相关函数等多个量的通用缩放函数的关键指数，不变缩放组合和分析公式。最后，我们讨论了在胶体悬浮液中测量这些行为的暂定实验方案。
Disordered viscoelastic materials are ubiquitous and exhibit fascinating invariant scaling properties. In a companion article, we have presented comprehensive new results for the critical behavior of the dynamic susceptibility of disordered elastic systems near the onset of rigidity. Here we provide additional details of the derivation of the singular scaling forms of the longitudinal response near both jamming and rigidity percolation. We then discuss global aspects associated with these forms, and make scaling collapse plots for both undamped and overdamped dynamics in both the rigid and floppy phases. We also derive critical exponents, invariant scaling combinations and analytical formulas for universal scaling functions of several quantities such as transverse and density responses, elastic moduli, viscosities, and correlation functions. Finally, we discuss tentative experimental protocols to measure these behaviors in colloidal suspensions.
