Volume 73, Number 5, March 2006
|Page(s)||726 - 732|
|Section||Condensed matter: structural, mechanical and thermal properties|
|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: firstname.lastname@example.org
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
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