基于完全单调函数的介电弛豫模型
Models of dielectric relaxation based on completely monotone functions
摘要：
介电材料的弛豫特性在频域中根据多年来提出的几个模型之一进行描述：Kohlrausch-Williams-Watts，Cole-Cole，Cole-Davidson，Havriliak-Negami（及其修改版本）和多余的机翼模型是其中最著名的。它们在时域中的描述涉及一些数学函数，这些数学函数的知识对于充分理解模型具有根本的重要性。在这项工作中，我们调查的主要介电模型，我们说明了相应的时域功能。特别是，我们强调的松弛和响应函数的完全单调性。我们还提供了一个表征的分数阶微分算子的模型。
英文摘要：
The relaxation properties of dielectric materials are described, in the frequency domain, according to one of the several models proposed over the years: Kohlrausch-Williams-Watts, Cole-Cole, Cole-Davidson, Havriliak-Negami (with its modified version) and Excess wing model are among the most famous. Their description in the time domain involves some mathematical functions whose knowledge is of fundamental importance for a full understanding of the models. In this work, we survey the main dielectric models and we illustrate the corresponding time-domain functions. In particular, we stress the attention on the completely monotone character of the relaxation and response functions. We also provide a characterization of the models in terms of differential operators of fractional order.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
