Finite-size effects of avalanche dynamics
Finite-size effects of avalanche dynamics
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DOI：
10.1103/physreve.66.066137
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发表时间：
2002-12-01
影响因子：
2.4
通讯作者：
Ernst, UA
中科院分区：
文献类型：
--
作者：
Eurich, CW;Herrmann, JM;Ernst, UA
我们研究了一个接受随机输入的全局耦合阈值单元系统的雪崩动力学。该模型与olami - federd - christensen粘滑模型的随机邻居版本属于同一普适性类。利用系统位形空间中的几何参数，导出了任意系统大小N的雪崩大小分布的封闭表达式。对于有限系统，在非保守状态下得到近似幂律行为，而对于N—>∞，只有在保守情况下才能得到指数为-3/2的临界行为。我们将这些结果与在整合-激活神经元网络中发现的雪崩特性进行比较，并将不同的动态机制与有无振荡成分的同步出现联系起来。
We study the avalanche dynamics of a system of globally coupled threshold elements receiving random input. The model belongs to the same universality class as the random-neighbor version of the Olami-Feder-Christensen stick-slip model. A closed expression for avalanche size distributions is derived for arbitrary system sizes N using geometrical arguments in the system's configuration space. For finite systems, approximate power-law behavior is obtained in the nonconservative regime, whereas for N-->infinity, critical behavior with an exponent of -3/2 is found in the conservative case only. We compare these results to the avalanche properties found in networks of integrate-and-fire neurons, and relate the different dynamical regimes to the emergence of synchronization with and without oscillatory components.