Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling

• Main Authors: Benella, Simone (Author), Consolini, Giuseppe (Author), Giannattasio, Fabio (Author), Chang, Tom (Author), Echim, Marius (Author)
• Other Authors: MIT Kavli Institute for Astrophysics and Space Research (Contributor)
• Format: Article
• Language: English
• Published: Multidisciplinary Digital Publishing Institute, 2020-05-07T18:38:55Z.
• Subjects: Article
• Online Access: Get fulltext

 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