Inertial effects in anomalous dielectric relaxation
Inertial effects in anomalous dielectric relaxation
复制标题
反常介电弛豫中的惯性效应
DOI：
10.1103/physreve.65.032102
复制
发表时间：
2002
影响因子：
2.4
通讯作者：
S. V. Titov
中科院分区：
文献类型：
--
作者：
W. Coffey;Y. Kalmykov;S. V. Titov
将极性分子转动布朗运动的惯性修正德拜模型推广到分数阶动力学~反常扩散！在分数Klein-Kramers方程的背景下。给出了复介电常数x~v！给出了定轴转子总成的计算公式。X~v！的高频行为像在正常扩散中一样，由偶极子的惯性控制，因此满足偶极吸收的戈登和规则，确保在非常高的频率下返回光学透明。
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 x~v! for an assembly of fixed axis rotators is given. The high-frequency behavior of x~v! 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.