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

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

2001-08-22

arxiv.org/abs/cond-mat/0108347v2

Phys. Rev. E, Vol 65, 036131, 1-18 (2002).

Physics

Condensed Matter

Statistical Mechanics

33 pages, 19 figures, submitted

Scientific paper

10.1103/PhysRevE.65.036131

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.

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