| Issue |
Europhys. Lett.
Volume 73, Number 5, March 2006
|
|
|---|---|---|
| Page(s) | 726 - 732 | |
| Section | Condensed matter: structural, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10455-9 | |
| Published online | 18 January 2006 | |
Non-exponential relaxation for anomalous diffusion
International Center of Condensed Matter Physics and Institute of Physics University of Brasília - CP 04513 70919-970 Brasília-DF, Brazil
Corresponding author: fao@fis.unb.br
Received:
10
November
2005
Accepted:
10
January
2006
We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation phenomena. Such function is even; therefore, it cannot be an exponential or a stretched exponential. However, for a proper choice of the parameters, those functions can be reproduced within certain intervals with good precision. We also show the passage from the non-Markovian to the Markovian behaviour in the normal diffusion regime. For times longer than the relaxation time, the correlation function for anomalous diffusion becomes a power law for broad-band noise.
PACS: 67.40.Fd – Dynamics of relaxation phenomena / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ey – Stochastic processes
© EDP Sciences, 2006
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.