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Dielectric permittivity of suspensions

机译：悬浮液的介电常数

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摘要

A strict macroscopic analysis of the limiting long-wavelength permittivity of a model suspension is presented in which the suspension is considered as a finely dispersed system consisting of isotropic dielectric balls with piecewise-continuous radial permittivity profile. The analysis is performed within the framework of the notion of compact groups of inhomogeneities and the procedure of field averaging over volumes significantly exceeding the scale of these groups. The indicated value is described by the Lorentz-Lorenz formula. The effective polarizability of balls in the suspension is reconstructed from their parameters and the parameters of the medium by means of integration. The result is valid for any concentration of the balls at which the suspension remains macroscopically homogeneous and isotropic with respect to the field and for an arbitrary difference between the ball and medium permittivities.
机译：提出了对模型悬架的极限长波长介电常数的严格的宏观分析，其中将悬架视为由各向同性的介电球组成的细分散系统，各向同性的介电球具有分段连续的径向介电常数分布。分析是在不均匀性的紧凑组概念的框架内进行的，并且场平均过程的体积明显超过了这些组的规模。指示值由洛伦兹-洛伦茨公式描述。悬浮液中球的有效极化率是通过积分和介质参数重新构造的。该结果对于悬浮液在宏观上相对于磁场保持宏观均质和各向同性的任何浓度的球以及对于球和介质介电常数之间的任意差异都是有效的。

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