Self-organized branching processes: Avalanche models with dissipation
Self-organized branching processes: Avalanche models with dissipation
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DOI：
10.1103/physreve.54.2483
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发表时间：
1996-09-01
影响因子：
2.4
通讯作者：
Stanley, HE
中科院分区：
文献类型：
--
作者：
Lauritsen, KB;Zapperi, S;Stanley, HE
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.
