Crossover phenomenon in self-organized critical sandpile models
arXiv:cond-mat/0008304 · doi:10.1103/PhysRevE.62.6149
Abstract
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.
6 pages, 9 figures, accepted for publication in Physical Review E
References in corpus (2)
Cited by in corpus (6)
- Sandpile models and random walkers on finite lattices
- Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model
- Finite-size scaling of critical avalanches
- Randmoness and Step-like Distribution of Pile Heights in Avalanche Models
- Universality classes and crossover behaviors in non-Abelian directed sandpiles
- A Self-Organized Model for the Flicker Noise in Interacting Two-Dimensional Electron Gas