Classes of critical avalanche dynamics in complex networks
Filippo Radicchi, Claudio Castellano, Alessandro Flammini, Miguel A. Muñoz, Daniele Notarmuzi
Abstract
This paper studies statistical properties of avalanche dynamical models on complex network topologies. The authors provide numerical and theoretical evidence of a universal critical behavior. Both the size and the duration of avalanches obey power-law distributions characterized by two distinct scaling regimes: at small scales, the statistics of the avalanches is model and network dependent; at large scale instead, the distribution of the avalanche sizes and durations is identical for all networks and types of dynamics.
Topics & Concepts
Statistical physicsComplex networkScalingPower lawNetwork topologyScaling lawComplex systemCritical phenomenaPhysicsCritical exponentComputer scienceMathematicsStatisticsQuantum mechanicsPhase transitionArtificial intelligenceGeometryOperating systemWorld Wide WebComplex Network Analysis TechniquesOpinion Dynamics and Social InfluenceComplex Systems and Time Series Analysis