Non-exponential relaxation for anomalous diffusion
| dc.creator | Vainstein, Mendeli H. | |
| dc.creator | Costa, Ismael V. L. | |
| dc.creator | Morgado, Rafael | |
| dc.creator | Oliveira, Fernando A. | |
| dc.date | 2005-01-21 | |
| dc.date | 2006-05-04 | |
| dc.date.accessioned | 2026-07-07T06:37:28Z | |
| dc.date.available | 2026-07-07T06:37:28Z | |
| dc.description | 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. | |
| dc.description | 6 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0501522 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0501522 | |
| dc.identifier | Europhys. Lett., 73 (5), p. 726 (2006) | |
| dc.identifier | doi:10.1209/epl/i2005-10455-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100401 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Non-exponential relaxation for anomalous diffusion | |
| dc.type | text |