Self-organized branching processes: Avalanche models with dissipation
- 1 September 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 54 (3) , 2483-2488
- https://doi.org/10.1103/physreve.54.2483
Abstract
We explore, in the mean-field approximation, robustness with respect to dissipation of self-organized criticality in sandpile models. To this end, we generalize a recently introduced self-organized branching process, and show that the model self-organizes not into a critical state but rather into a subcritical state: when dissipation is present, the dynamical fixed point does not coincide with the critical point. Thus the level of dissipation acts as a relevant parameter in the renormalization-group sense. We study the model numerically and compute analytically the critical exponents for the avalanche size and lifetime distributions and the scaling exponents for the corresponding cutoffs. © 1996 The American Physical Society.Keywords
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This publication has 38 references indexed in Scilit:
- Avalanche dynamics in a pile of riceNature, 1996
- Self-Organized Branching Processes: Mean-Field Theory for AvalanchesPhysical Review Letters, 1995
- Self-Organization at Nonzero TemperaturesPhysical Review Letters, 1995
- Superconducting Vortex AvalanchesPhysical Review Letters, 1995
- Renormalization scheme for self-organized criticality in sandpile modelsPhysical Review Letters, 1994
- Mean field theory for a simple model of evolutionPhysical Review Letters, 1993
- Sandpile models with and without an underlying spatial structurePhysical Review E, 1993
- Cascades and self-organized criticalityJournal of Statistical Physics, 1990
- Self-organized critical state of sandpile automaton modelsPhysical Review Letters, 1990
- Mean field theory of self-organized critical phenomenaJournal of Statistical Physics, 1988