1997/10/07 by A. Vazquez, Alexei Vázquez, Oscar Sotolongo-Costa +5
Engineering · Environmental Science · Physics and Astronomy · #CO2 Sequestration and Geologic Interactions #Hydraulic Fracturing and Reservoir Analysis #Soil and Unsaturated Flow #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9710067
16 pages, LaTex with epsf style
arxiv created 1997/10/07 · arxiv updated 2009/11/30
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.