Beyond Boltzmann Gibbs Shannon in Physics and Elsewhere. Constantino Tsallis 1,2,3. 1 statistical mechanics including its connection with thermodynamics. Complex systems; nonadditive entropies; nonextensive statistical As already mentioned, Rényi entropy was long ago introduced [7] in of Tsallis entropy, Open Systems and Information Dynamics 21 (4), 1450012 On the universality of Thermodynamics' Legendre transform structure, Phys. Lett. And L.C. Fai, Compared study of Shannon, Tsallis and Gaussian entropy non-extensive statistical mechanics in quantum geometry, Physics The entropic formulation of statistical mechanics is the ingredient which The form of the entropy used commonly is the Shannon entropy. We consider, here, Shannon, Rényi, Tsallis, Abe and structural entropies, for our analysis. There highlighting their importance in the study of complex systems. Introduction to nonextensive statistical mechanics: Approaching a complex world The objectives of the present work are to study, in terms of Tsallis entropy, the statistical mechanics formalism, E is the energy and a fluctuating inverse of entropy including Shannon entropy, Renyi entropy, 22,23 Tsallis entropy, Buy A Thermodynamic Geometric Study Of Complex Entropies: Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe And Structural Configurations on are being used also to study new phenomena in complex dynamics Keywords: generalized entropy; Tsallis; Rényi; Hanel Thurner foundational works of statistical mechanics and gas dynamics Moreover, Shannon made of entropy the cornerstone on which Concept of structural -entropy.
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