Crossover phenomenon in self-organized critical sandpile models

Controlling self-organized criticality in sandpile models.

We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self-organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action, which amounts to triggering avalanches in sites that are near to become critical, reduces the probability of very large events, so that energy dissipation oc...

Self-organized criticality in sandpile models

The sandpile model, introduced in 1987, was the first model to exhibit self-organized critical behavior, that is, the system moved towards its critical point without the need to tune any adjustable external parameter. In this paper, we look at the why these models exhibit such non-intuitive behavior. We also look at some of the phenomenology near the critical point, such as scaling laws and cri...

Sandpile Models of Self-Organized Criticality

Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in nonequilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples of self-organized criticality. However, only some of the laboratory experiments looking for the evidence of criticality in sandpiles have reported a positive...

Crossover Component in Non Critical Dissipative Sandpile Models

The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show numerically that the local limited (LL) model exhibits a crossover from multifractal to self-similar behavior as the control parameters h ext and ǫ turn towards their critical values, i.e. h ext → 0 + and ǫ → ǫ c. The critical exponents are not universal an...

Renormalization scheme for self-organized criticality in sandpile models.