Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models

DOI10.1016/j.physleta.2010.11.021zbMath1241.82056OpenAlexW2048057507MaRDI QIDQ430624

Han-Lun Hsu, Ya-Ting Lee, Tomohiro Hasumi, Chien-Chih Chen

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.11.021

zbMATH Keywords

fractional Brownian motionearthquakesstochastic processsandpile modelgeneralized Cauchy processlong-range connection

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical aspects of cellular automata (37B15)

Cites Work

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• Intermittent criticality in the long-range connective sandpile (LRCS) model
• Self-organized criticality on small world networks
• Self-organized criticality
• Stochastic Models That Separate Fractal Dimension and the Hurst Effect
• Collective dynamics of ‘small-world’ networks