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Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy
Institute for Space Applications and Remote Sensing, National Observatory of Athens, Metaxa and Vasileos Pavlou, Penteli 15236, Athens, Greece
Section of Astrophysics, Astronomy and Mechanics, Department of Physics, University of Athens, Panepistimiopolis, Zografos 15784, Athens, Greece
Section of Solid State Physics, Department of Physics, University of Athens, Panepistimiopolis, Zografos 15784, Athens, Greece
* Author to whom correspondence should be addressed.
Received: 1 September 2011; in revised form: 28 September 2011 / Accepted: 30 September 2011 / Published: 14 October 2011
Abstract: Over the last couple of decades nonextensive Tsallis entropy has shown remarkable applicability to describe nonequilibrium physical systems with large variability and multifractal structure. Herein, we review recent results from the application of Tsallis statistical mechanics to the detection of dynamical changes related with the occurrence of magnetic storms. We extend our review to describe attempts to approach the dynamics of magnetic storms and solar flares by means of universality through Tsallis statistics. We also include a discussion of possible implications on space weather forecasting efforts arising from the verification of Tsallis entropy in the complex system of the magnetosphere.
Keywords: Tsallis entropy; magnetospheric dynamics; magnetic storms; solar flares; space weather
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Balasis, G.; Daglis, I.A.; Papadimitriou, C.; Anastasiadis, A.; Sandberg, I.; Eftaxias, K. Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy. Entropy 2011, 13, 1865-1881.
Balasis G, Daglis IA, Papadimitriou C, Anastasiadis A, Sandberg I, Eftaxias K. Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy. Entropy. 2011; 13(10):1865-1881.
Balasis, Georgios; Daglis, Ioannis A.; Papadimitriou, Constantinos; Anastasiadis, Anastasios; Sandberg, Ingmar; Eftaxias, Konstantinos. 2011. "Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy." Entropy 13, no. 10: 1865-1881.