Self-organized branching processes: Avalanche models with dissipation

Details Self-organized branching processes: Avalanche models with dissipation Self-organized branching processes: Avalanche models with dissipation

1996-03-25

arxiv.org/abs/cond-mat/9603154v1

Phys. Rev. E 54, 2483-2488 (1996).

Physics

Condensed Matter

6 REVTeX pages; uses epsf.sty, multicol.sty; figures included

Scientific paper

10.1103/PhysRevE.54.2483

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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