The role of Mittag-Leffler functions in anomalous relaxation

被引：21

作者：

Crothers, DSF ^{[1
]}

Holland, D

Kalmykov, YP

Coffey, W

机构：

[1] Queens Univ Belfast, Dept Appl Math & Theoret Phys, Belfast BT7 1NN, Antrim, North Ireland

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

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

来源：

JOURNAL OF MOLECULAR LIQUIDS | 2004年 / 114卷 / 1-3期

关键词：

fractal; anomalous; diffusion;

D O I：

10.1016/j.molliq.2004.02.003

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The intertia-corrected Debye model of rotational Brownian motion of polar molecules was generalized by Coffey et al. [Phys. Rev. E, 65, 32 102 (2002)] to describe fractional dynamics and anomalous rotational diffusion. The linear-response theory of the normalized complex susceptibility was given in terms of a Laplace transform and as a function of frequency. The angular-velocity correlation function was parametrized via fractal Mittag-Leffler functions. Here we apply the latter method and complex-contour integral-representation methods to determine the original time-dependent amplitude as an inverse Laplace transform using both analytical and numerical approaches, as appropriate. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：27 / 34

页数：8