Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling
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Author(s)
Benella, Simone
Consolini, Giuseppe
Giannattasio, Fabio
Chang, Tom
Echim, Marius
Date Issued
July 26, 2017
Journal
Entropy
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Benella, Simone, Giuseppe Consolini, Fabio Giannattasio, Tom T.S. Chang, and Marius Echim, "Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling." Entropy 19, 8 (July 2017): p. 383 doi 10.3390/e19080383 ©2017 Author(s)
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Final published version
Abstract
Many out-of-equilibrium systems respond to external driving with nonlinear and self-similar dynamics. This near scale-invariant behavior of relaxation events has been modeled through sand pile cellular automata. However, a common feature of these models is the assumption of a local connectivity, while in many real systems, we have evidence for longer range connectivity and a complex topology of the interacting structures. Here, we investigate the role that longer range connectivity might play in near scale-invariant systems, by analyzing the results of a sand pile cellular automaton model on a Newman–Watts network. The analysis clearly indicates the occurrence of a crossover phenomenon in the statistics of the relaxation events as a function of the percentage of longer range links and the breaking of the simple Finite Size Scaling (FSS). The more complex nature of the dynamics in the presence of long-range connectivity is investigated in terms of multi-scaling features and analyzed by the Rank-Ordered Multifractal Analysis (ROMA). ©2017 Keywords: avalanche dynamics; network; near-criticality behavior; finite size scaling; multifractal analysis
MIT Department
MIT Kavli Institute for Astrophysics and Space Research
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DOI of Published Version
https://doi.org/10.3390/e19080383
