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Classes of critical avalanche dynamics in complex networks

2020/02/29 by Filippo Radicchi, Claudio Castellano, Alessandro Flammini +2 · 15 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Complex network #Complex system #Computer science #Critical exponent #Critical phenomena #Mathematics #Network topology #Opinion Dynamics and Social Influence #Phase transition #Physics #Power law #Quantum mechanics #Scaling #Scaling law #Statistical physics #Statistics #cond-mat.stat-mech #physics.soc-ph

paper · pdf · doi:10.1103/physrevresearch.2.033171

published in Physical Review Research 2(3) (American Physical Society) · 10 pages, 4 figures, Supplemental Material available at this http://homes.sice.indiana.edu/filiradi/Mypapers/Avalanches/SM.pdf

openalex publication_date 2020/07/30 · arxiv created 2020/07/31 · arxiv updated 2020/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

Citations