Abstract
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 critical behavior with an exponent of 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.
- Received 14 September 2000
DOI:https://doi.org/10.1103/PhysRevE.66.066137
©2002 American Physical Society