Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling
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, whi...
| Main Authors: | , , , , |
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| Format: | Article |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | https://hdl.handle.net/1721.1/125117 |
| _version_ | 1826209510292717568 |
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| author | Benella, Simone Consolini, Giuseppe Giannattasio, Fabio Chang, Tom Echim, Marius |
| author2 | MIT Kavli Institute for Astrophysics and Space Research |
| author_facet | MIT Kavli Institute for Astrophysics and Space Research Benella, Simone Consolini, Giuseppe Giannattasio, Fabio Chang, Tom Echim, Marius |
| author_sort | Benella, Simone |
| collection | MIT |
| description | 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 |
| first_indexed | 2024-09-23T14:23:37Z |
| format | Article |
| id | mit-1721.1/125117 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:23:37Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | mit-1721.1/1251172022-09-29T09:13:42Z Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling Benella, Simone Consolini, Giuseppe Giannattasio, Fabio Chang, Tom Echim, Marius MIT Kavli Institute for Astrophysics and Space Research 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 2020-05-07T18:38:55Z 2020-05-07T18:38:55Z 2017-07-26 2017-04 2019-03-29T19:40:01Z Article http://purl.org/eprint/type/JournalArticle 1099-4300 https://hdl.handle.net/1721.1/125117 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) 10.3390/e19080383 Entropy Creative Commons Attribution application/pdf Multidisciplinary Digital Publishing Institute Multidisciplinary Digital Publishing Institute |
| spellingShingle | Benella, Simone Consolini, Giuseppe Giannattasio, Fabio Chang, Tom Echim, Marius Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title | Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title_full | Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title_fullStr | Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title_full_unstemmed | Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title_short | Avalanching systems with longer range connectivity: occurrence of a crossover phenomenon and multifractal finite size scaling |
| title_sort | avalanching systems with longer range connectivity occurrence of a crossover phenomenon and multifractal finite size scaling |
| url | https://hdl.handle.net/1721.1/125117 |
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