Bimodal approximation for anomalous diffusion in a potential

被引：12

作者：

Kalmykov, YP

Coffey, WT

Titov, SV

机构：

[1] Univ Perpignan, Grp Phys Mol, Lab Math & Phys Syst, F-66860 Perpignan, France

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

[3] Russian Acad Sci, Inst Radio Engn & Elect, Fryazino 141190, Moscow Region, Russia

来源：

PHYSICAL REVIEW E | 2004年 / 69卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.69.021105

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：

Exact and approximate solutions of the fractional diffusion equation for an assembly of fixed-axis dipoles are derived for anomalous noninertial rotational diffusion in a double-well potential. It is shown that knowledge of three time constants characterizing the normal diffusion, viz., the integral relaxation time, the effective relaxation time, and the inverse of the smallest eigenvalue of the Fokker-Planck operator, is sufficient to accurately predict the anomalous relaxation behavior for all time scales of interest.

引用

页码：021105 / 1

页数：7

共 24 条

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[Anonymous], LANGEVIN EQUATION AP

[2]

[Anonymous], 1954, POLAR MOL

[3] Anomalous diffusion and dielectric relaxation in an N-fold cosine potential -: art. no. 061115 [J].