Phys. Rev. E 69, 021105 (2004) [7 pages]Bimodal approximation for anomalous diffusion in a potentialReceived 21 May 2003; published 20 February 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.021105
DOI:
10.1103/PhysRevE.69.021105
PACS:
05.40.Jc, 05.45.Df, 77.22.-d
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.