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...
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MDPI AG
2017-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/19/8/383 |
| _version_ | 1817996008984936448 |
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| author | Simone Benella Giuseppe Consolini Fabio Giannattasio Tom T.S. Chang Marius Echim |
| author_facet | Simone Benella Giuseppe Consolini Fabio Giannattasio Tom T.S. Chang Marius Echim |
| author_sort | Simone Benella |
| collection | DOAJ |
| 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). |
| first_indexed | 2024-04-14T02:15:39Z |
| format | Article |
| id | doaj.art-b00d59e0dc1a4c2583a3f561912298b6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T02:15:39Z |
| publishDate | 2017-07-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-b00d59e0dc1a4c2583a3f561912298b62022-12-22T02:18:12ZengMDPI AGEntropy1099-43002017-07-0119838310.3390/e19080383e19080383Avalanching Systems with Longer Range Connectivity: Occurrence of a Crossover Phenomenon and Multifractal Finite Size ScalingSimone Benella0Giuseppe Consolini1Fabio Giannattasio2Tom T.S. Chang3Marius Echim4Dipartimento di Scienze Pure ed Applicate, Università degli Studi di Urbino Carlo Bo, 61029 Urbino, ItalyINAF-Istituto di Astrofisica e Planetologia Spaziali, 00133 Roma, ItalyIstituto Nazionale di Geofisica e Vulcanologia, 00143 Roma, ItalyKavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USARoyal Belgian Institute for Space Aeronomy, B-1180 Brussels, BelgiumMany 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).https://www.mdpi.com/1099-4300/19/8/383avalanche dynamicsnetworknear-criticality behaviorfinite size scalingmultifractal analysis |
| spellingShingle | Simone Benella Giuseppe Consolini Fabio Giannattasio Tom T.S. Chang Marius Echim Avalanching Systems with Longer Range Connectivity: Occurrence of a Crossover Phenomenon and Multifractal Finite Size Scaling Entropy avalanche dynamics network near-criticality behavior finite size scaling multifractal analysis |
| 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 |
| topic | avalanche dynamics network near-criticality behavior finite size scaling multifractal analysis |
| url | https://www.mdpi.com/1099-4300/19/8/383 |
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