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

Bruno Cessac (1) , J. L. Meunier (1)

1 INLN - Institut Non Linéaire de Nice Sophia-Antipolis

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.

Mots clés: Lee-Yang; Self Organized Criticality

Domaines: Mécanique statistique [cond-mat.stat-mech]

Bruno Cessac, J. L. Meunier. Anomalous scaling and Lee-Yang zeroes in Self-Organized Criticality. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2002, 65, 036131 (18 p.). ⟨10.1103/PhysRevE.65.036131⟩. ⟨hal-00013140⟩