Bimodal approximation for anomalous diffusion in a potential

Yuri P. Kalmykov, William T. Coffey, and Sergey V. Titov
Phys. Rev. E 69, 021105 – Published 20 February 2004
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Abstract

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.

  • Received 21 May 2003

DOI:https://doi.org/10.1103/PhysRevE.69.021105

©2004 American Physical Society

Authors & Affiliations

Yuri P. Kalmykov

  • Lab. Mathématiques et Physique pour les Systèmes, Groupe de Physique Moléculaire, Université de Perpignan, 52, Avenue Paul Alduy, 66860 Perpignan Cedex, France

William T. Coffey

  • Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland

Sergey V. Titov

  • Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, Vvedenskii Square 1, Fryazino, Moscow Region, 141190, Russian Federation

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Issue

Vol. 69, Iss. 2 — February 2004

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