Department

Astronomy

Document Type

Article

Publication Date

7-14-2013

Abstract

We introduce a generalized homogeneous function to describe the joint probability density for magnitude and duration of events in self-organized critical systems (SOC). It follows that the cumulative distributions of magnitude and of duration are power-laws with exponents α and τ respectively. A power-law relates duration and magnitude (exponent γ) on the average. The exponents satisfy the dynamic scaling relation α=γτ. The exponents classify SOC systems into universality classes that do not depend on microscopic details provided that both ατ

Comments

Available on arXiv site: arXiv:nlin/0504034v1

Version

Pre-print

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