Crossover phenomenon in self-organized critical sandpile models

Details Crossover phenomenon in self-organized critical sandpile models Crossover phenomenon in self-organized critical sandpile models

2000-08-21

arxiv.org/abs/cond-mat/0008304v1

Physical Review E 62, 6149 (2000)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 9 figures, accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.62.6149

We consider a stochastic sandpile where the sand-grains of unstable sites are randomly distributed to the nearest neighbors. Increasing the value of the threshold condition the stochastic character of the distribution is lost and a crossover to the scaling behavior of a different sandpile model takes place where the sand-grains are equally transferred to the nearest neighbors. The crossover behavior is numerically analyzed in detail, especially we consider the exponents which determine the scaling behavior.

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