Anomalous scaling and Lee-Yang zeroes in Self-Organized Criticality

Preprint

22 August 2001

preprint
Published by arXiv in arXiv

Abstract

We show that the generating functions of avalanche observables in SOC models exhibits a Lee-Yang phenomenon. This establishes a new link between the classical theory of critical phenomena and SOC. A scaling theory of the Lee-Yang zeroes is proposed including finite sampling effects.

Keywords

ORGANIZED CRITICALITY
CRITICAL PHENOMENA
ANOMALOUS SCALING
LEE YANG ZEROES
YANG ZEROES
THEORY
SOC

All Related Versions

Version 1, 2001-08-22, ArXiv
Version 2, 2001-11-15, ArXiv
Published version: Physical Review E, 65 (3), 036131.

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