306 citations · 694 across the 12 of their papers we have counts for
3 papers · 1 filter
Energy avalanches in a rice-pile model
Luis A. Nunes Amaral, Kent B. Lauritsen
We investigate a one-dimensional rice-pile model. We show that the distribution of dissipated potential energy decays as a power law with an exponent . The system thus prov…
Self-organized criticality in a rice-pile model
Luis A. Nunes Amaral, Kent B. Lauritsen
We present a new model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We…
Self-organized branching processes: Avalanche models with dissipation
Kent Bækgaard Lauritsen, Stefano Zapperi, H. Eugene Stanley
We explore in the mean-field approximation the robustness with respect to dissipation of self-organized criticality in sandpile models. To this end, we generalize a recently introd…