Title

Self-Organized Criticality in Non-Conserved Systems

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Chao Tang, NEC Research Institute

Document Type

Article

Date

7-19-1994

Language

English

Disciplines

Physics

Description/Abstract

The origin of self-organized criticality in a model without conservation law (Olami, Feder, and Christensen, Phys. Rev. Lett. {\bf 68}, 1244 (1992)) is studied. The homogeneous system with periodic boundary condition is found to be periodic and neutrally stable. A change to open boundaries results in the invasion of the interior by a ``self-organized'' region. The mechanism for the self-organization is closely related to the synchronization or phase-locking of the individual elements with each other. A simplified model of marginal oscillator locking on a directed lattice is used to explain many of the features in the non-conserved model: in particular, the dependence of the avalanche-distribution exponent on the conservation parameter $\alpha$ is examined.

Additional Information

11 pages, 4 separate figures, REVTEX More information at http://arxiv.org/abs/cond-mat/9407082

Recommended Citation

Middleton, Alan and Tang, Chao, "Self-Organized Criticality in Non-Conserved Systems" (1994). Physics - All Scholarship. 204.
https://surface.syr.edu/phy/204

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.