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摘要翻译：
许多材料的介电特性是用一个拉伸的指数函数来描述的，即所谓的KWW弛豫函数（Kohlrausch-Williams-Watts）。它的物理起源和统计力学基础在文献中一直是一个争论的问题。在本文中，我们提出了一个介电弛豫模型，它自然导致了一个拉伸的指数衰减函数。考虑了潜在电荷传导机制的一些本质特征。用时间分数阶导数方程对弛豫和电荷输运过程进行了动力学描述。
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英文标题：
《Stretched-exponential decay functions from a self-consistent model of
dielectric relaxation》
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作者：
Alexander V. Milovanov (1) Jens Juul Rasmussen (2) Kristoffer Rypdal
(1) ((1) Department of Physics and Technology, University of Tromso UiT,
Tromso, Norway; (2) Optics and Plasma Research Department, Riso National
Laboratory, Technical University of Denmark, Roskilde, Denmark)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Materials Science 材料科学
分类描述：Techniques, synthesis, characterization, structure. Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function. Its physical origin and statistical-mechanical foundation have been a matter of debate in the literature. In this paper we suggest a model of dielectric relaxation, which naturally leads to a stretched exponential decay function. Some essential characteristics of the underlying charge conduction mechanisms are considered. A kinetic description of the relaxation and charge transport processes is proposed in terms of equations with time-fractional derivatives.
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PDF链接：
https://arxiv.org/pdf/707.3957
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