Volume 51, Number 5, September I 2000
|Page(s)||492 - 498|
|Published online||01 September 2002|
Accelerating Brownian motion: A fractional dynamics approach to fast diffusion
School of Chemistry, Tel Aviv University -
69978 Tel Aviv, Israel
2 Department of Physics and School of Chemical Sciences University of Illinois at Urbana-Champaign 600 S. Mathews, Urbana, IL61801, USA
Corresponding authors: firstname.lastname@example.org email@example.com
Accepted: 6 July 2000
Superdiffusion in the sub-ballistic regime with a non-diverging mean-squared displacement is studied on the basis of a linear, fractional kinetic equation with constant coefficients which is non-local in time and leads to an exponential tail of the corresponding probability density function. It is shown that sub-ballistic superdiffusion can be regarded as ballistic motion with a memory, much as slow diffusion can be thought of as a random walk with a memory. This suggests that fractional kinetic equations are useful in describing both sub- and superdiffusion processes.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.-k – Transport processes / 05.40.Fb – Random walks and Levy flights
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.