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http://hdl.handle.net/2122/11512
Authors: | Benella, Simone* Consolini, Giuseppe* Giannattasio, Fabio* Chang, Tom* Echim, Marius* |
Title: | Avalanching Systems with Longer Range Connectivity: Occurrence of a Crossover Phenomenon and Multifractal Finite Size Scaling | Journal: | Entropy | Series/Report no.: | /19 (2017) | Issue Date: | 2017 | DOI: | 10.3390/e19080383 | 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) |
Appears in Collections: | Article published / in press |
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