Self-Organized Criticality in a Transient System

Details Self-Organized Criticality in a Transient System Self-Organized Criticality in a Transient System

2000-05-19

arxiv.org/abs/cond-mat/0005318v1

Phys. Rev. E 65, 036147 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages (incl. 4 figures)

Scientific paper

10.1103/PhysRevE.65.036147

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate of deflation, is critical, and exhibits avalanches of activity with power-law distributed sizes. This example demonstrates that self-organized critical behavior occurs in a larger class of systems than so far considered: systems not driven to an attractive fixed point, but, e.g., an asymptote, may also display self-organized criticality.

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