Self-organized branching processes: Avalanche models with dissipation

Preprint

25 March 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9603154

Abstract

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 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.

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All Related Versions

Version 1, 1996-03-25, ArXiv
Published version: Physical Review E, 54 (3), 2483.

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