Sandpile Model for Relaxation in Complex Systems
Condensed Matter
2007-05-23 v1
Abstract
The relaxation in complex systems is in general nonexponential. After an initial rapid decay the system relax slowly following a long time tail. In the present paper a sandpile modelation of the relaxation in complex systems is analysed. Complexity is introduced by a process of avalanches in the Bethe lattice and a feedback mechanism which leads to slower decay with increasing time. In this way, some features of relaxation in complex systems: long time tails relaxation, aging, and fractal distribution of characteristic times, are obtained by simple computer simulations.
Cite
@article{arxiv.cond-mat/9710067,
title = {Sandpile Model for Relaxation in Complex Systems},
author = {A. Vazquez and O. Sotolongo-Costa and F. Brouers},
journal= {arXiv preprint arXiv:cond-mat/9710067},
year = {2007}
}
Comments
16 pages, LaTex with epsf style