Bimodal approximation for anomalous diffusion in a potential.
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.
Lab. Mathématiques et Physique pour les Systèmes, Groupe de Physique Moléculaire, Université de Perpignan, 52, Avenue Paul Alduy, 66860 Perpignan Cedex, France.
Yuri P
YP
Kalmykov
William T
WT
Coffey
Sergey V
SV
Titov