结构随机性、复合无序和电响应之间的相互作用：复阻抗网络中的共振和瞬态延迟
Interplay Between Structural Randomness, Composite Disorder, and Electrical Response: Resonances and Transient Delays in Complex Impedance Networks
摘要：
我们研究了随机网络模型中结构和导电性（复合）无序与集体电响应之间的相互作用。将二元随机复合网络中的时变电响应（共振和瞬态弛豫）问题转化到广义本征值的框架下，研究和分析了这些结构中共振密度的标度行为。我们发现，通过控制密度的捷径（拓扑随机性）和/或复合比率的二进制链接（导电性障碍），可以有效地塑造谐振景观，或抑制长的瞬态延迟在相应的随机阻抗网络。
英文摘要：
We study the interplay between structural and conductivity (composite) disorder and the collective electrical response in random networks models. Translating the problem of time-dependent electrical response (resonance and transient relaxation) in binary random composite networks to the framework of generalized eigenvalues, we study and analyze the scaling behavior of the density of resonances in these structures. We found that by controlling the density of shortcuts (topological randomness) and/or the composite ratio of the binary links (conductivity disorder), one can effectively shape resonance landscapes, or suppress long transient delays in the corresponding random impedance networks.
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