Inertial effects in anomalous dielectric relaxation

被引：26

作者：

Coffey, WT ^{[1
]}

Kalmykov, YP

Titov, SV

机构：

[1] Univ Dublin Trinity Coll, Sch Engn, Dept Elect Engn & Elect, Dublin 2, Ireland

[2] Univ Perpignan, Ctr Etud Fondamentales, F-66860 Perpignan, France

[3] Russian Acad Sci, Inst Radioengn & Elect, Fryazino 114190, Moscow Region, Russia

来源：

PHYSICAL REVIEW E | 2002年 / 65卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Brownian movement - Correlation methods - Diffusion - Energy absorption - Functions - Mathematical models - Transparency;

D O I：

10.1103/PhysRevE.65.032102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The inertia corrected Debye model of rotational Brownian motion of polar molecules is generalized to fractional dynamics (anomalous diffusion) in the context of the fractional Klein-Kramers equation. The fractal generalization of the Gross-Sack solution for the complex dielectric susceptibility chi(omega) for an assembly of fixed axis rotators is given. The high-frequency behavior of chi(omega) is controlled by the inertia of a dipole as in normal diffusion, so that the Gordon sum rule for dipolar absorption is satisfied ensuring a return to optical transparency at very high frequencies.

引用

页码：1 / 032102

页数：4

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