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Broadband dielectric spectroscopy of inhomogeneous and composite weak conductors

机译：非均质和复合弱导体的宽带介电谱

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摘要

In this paper, we discuss broadband dielectric spectroscopy from mHz up to the infrared range mainly for materials with inhomogeneous weak conductivity, including conductor-dielectric nanocomposites. Our discussion is based on the effective medium approximation (EMA) and experiments modeled by this approach are reviewed. We discuss core-shell composites modeled by coated-spheres (Hashin-Shtrikman model) and normal composites with a possible percolation of the conductor component resulting in sharp or smeared percolation threshold of the DC conductivity and diverging static permittivity in the former case. The sharp percolation threshold is modeled by the Bruggeman EMA or by general EMA with arbitrary percolation threshold and arbitrary critical exponents of the DC conductivity and static permittivity. For the case of smeared percolation threshold in the case of complex topologies, we use the Lichtenecker model allowing for partial percolation of both the components. Finally, numerous papers reporting negative permittivity in weakly conducting materials are criticized and concluded to be due to spurious effects.
机译：在本文中，我们讨论了从mHz到红外范围的宽带介电谱，主要是针对非均匀弱电导率的材料，包括导体-介电纳米复合材料。我们的讨论是基于有效介质近似（EMA）进行的，并且对通过这种方法建模的实验进行了回顾。我们讨论了用包覆球（Hashin-Shtrikman模型）和普通复合材料建模的核-壳复合材料，导体复合材料可能发生渗漏，导致直流电导率的渗漏阈值锐利或模糊，在前一种情况下发散了静电容率。尖锐的渗漏阈值由Bruggeman EMA或通用EMA建模，具有任意的渗漏阈值和直流电导率和静电容率的任意临界指数。对于复杂拓扑情况下的渗透阈值被涂污的情况，我们使用Lichtenecker模型，允许对两个组件进行部分渗透。最后，批评弱电材料中的介电常数为负的大量论文受到批评并认为归因于虚假效应。

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