Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14365/2559
Title: | Nonextensive Footprints in Dissipative and Conservative Dynamical Systems | Authors: | Rodriguez, Antonio Pluchino, Alessandro Tirnakli, Ugur Rapisarda, Andrea Tsallis, Constantino |
Keywords: | nonextensive statistical mechanics long-range dynamical systems entropy complex systems Power-Law Sensitivity Mean-Field Model Initial Conditions Molecular-Fields Kuramoto Model Range Maps Entropy Boltzmann Edge |
Publisher: | Mdpi | Abstract: | Despite its centennial successes in describing physical systems at thermal equilibrium, Boltzmann-Gibbs (BG) statistical mechanics have exhibited, in the last several decades, several flaws in addressing out-of-equilibrium dynamics of many nonlinear complex systems. In such circumstances, it has been shown that an appropriate generalization of the BG theory, known as nonextensive statistical mechanics and based on nonadditive entropies, is able to satisfactorily handle wide classes of anomalous emerging features and violations of standard equilibrium prescriptions, such as ergodicity, mixing, breakdown of the symmetry of homogeneous occupancy of phase space, and related features. In the present study, we review various important results of nonextensive statistical mechanics for dissipative and conservative dynamical systems. In particular, we discuss applications to both discrete-time systems with a few degrees of freedom and continuous-time ones with many degrees of freedom, as well as to asymptotically scale-free networks and systems with diverse dimensionalities and ranges of interactions, of either classical or quantum nature. | URI: | https://doi.org/10.3390/sym15020444 https://hdl.handle.net/20.500.14365/2559 |
ISSN: | 2073-8994 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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