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  Finite-size effects of avalanche dynamics

Eurich, C. W., Herrmann, J. M., & Ernst, U. A. (2002). Finite-size effects of avalanche dynamics. Physical Review E, 66(6): 066137, pp. 066137-1-066137-15.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1737-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1738-C
Genre: Journal Article

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Eurich, C. W., Author
Herrmann, J. M.1, Author              
Ernst, U. A.1, Author              
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1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 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-->∞, 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.

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Language(s): eng - English
 Dates: 2002-12
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 15153
ISI: 000180427100044
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Title: Physical Review E
  Alternative Title : Phys. Rev. E
Source Genre: Journal
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Pages: - Volume / Issue: 66 (6) Sequence Number: 066137 Start / End Page: 066137-1 - 066137-15 Identifier: ISSN: 1063-651X