Nonextensive Footprints in Dissipative and Conservative Dynamical Systems
نویسندگان
چکیده
Despite its centennial successes in describing physical systems at thermal equilibrium, Boltzmann–Gibbs (BG) statistical mechanics have exhibited, the last several decades, flaws addressing out-of-equilibrium dynamics of many nonlinear complex systems. In such circumstances, it has been shown that an appropriate generalization BG theory, known as nonextensive and based on nonadditive entropies, is able to satisfactorily handle wide classes anomalous emerging features violations standard equilibrium prescriptions, ergodicity, mixing, breakdown symmetry homogeneous occupancy phase space, related features. present study, we review various important results for dissipative conservative dynamical particular, discuss applications both discrete-time with a few degrees freedom continuous-time ones freedom, well asymptotically scale-free networks diverse dimensionalities ranges interactions, either classical or quantum nature.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15020444