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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Dec;66(6 Pt 2):066137. Epub 2002 Dec 31.

Finite-size effects of avalanche dynamics.

Author information

1
Institut für Theoretische Physik, Universität Bremen, Otto-Hahn-Allee 1, Germany. eurich@physik.uni-bremen.de

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 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.

PMID:
12513377
DOI:
10.1103/PhysRevE.66.066137

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