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Sandpile Model for Relaxation in Complex Systems

A. Vazquez·O. Sotolongo-Costa·F. Brouers
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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.

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A. Vazquez, O. Sotolongo-Costa, F. Brouers. 1997-10-07. Sandpile Model for Relaxation in Complex Systems. https://arxiv.org/abs/cond-mat/9710067

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