Nonadditive Entropies and Nonextensive Statistical Mechanics
The aim of this Special Issue was to collect original research articles on the most recent research in nonadditive entropies and nonextensive statistical mechanics with their applications in physics and elsewhere, as well as comprehensive review articles covering these topics from a theoretical, exp...
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Online Access: | ONIX_20250812T110751_9783725839995_284 |
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| description | The aim of this Special Issue was to collect original research articles on the most recent research in nonadditive entropies and nonextensive statistical mechanics with their applications in physics and elsewhere, as well as comprehensive review articles covering these topics from a theoretical, experimental, or computational viewpoint. This generalization of the centennial Boltzmann–-Gibbs statistical mechanics and of the entropy upon which it is based were proposed in 1988 and have received, since then, many applications in natural, artificial, and social sciences. The undeniable success of the Boltzmann–-Gibbs theory is deeply related to strongly chaotic nonlinear dynamical systems. In particular, for classical systems, the standard requirement is that the maximal Lyapunov exponent is positive. At the edge of chaos, where the maximal Lyapunov exponent vanishes, the need emerges for nonadditive entropies and consistent generalizations of quantities such as the Maxwellian distributions of velocities, the celebrated Boltzmann–-Gibbs weight for energies, and Pesin-like identities. This generalized theory has received uncountable validations in complex systems. Professor Constantino Tsallis has had an outstanding global impact on physics, astrophysics, geophysics, economics, mathematics, and computational sciences, among others. In recognition of his extraordinarily creative and productive scientific life and innumerable contributions to the field of statistical physics of complex systems, this Special Issue is dedicated to him on his 80th birthday (5 November 2023). |
| format | Online |
| id | doab-20.500.12854ir-165529 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
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| spelling | doab-20.500.12854ir-1655292025-08-12T09:52:22Z Nonadditive Entropies and Nonextensive Statistical Mechanics Tirnakli, Ugur Beck, Christian Herrmann, Hans J. Deppman, Airton Jensen, Henrik Jeldtoft Curado, Evaldo M. F. Nobre, Fernando D. Plastino, Angelo Provata, Astero Rapisarda, Andrea coherent system residual Tsallis entropy Shannon entropy system signature Tsallis entropy many-fermion systems mixture degree finite temperature magic numbers ion acoustic waves nonextensive statistics kappa distribution Korteweg–de Vries Burgers equation vestibular disorders insole force sensors gait analysis detrending feature extraction classification information theory subduction seismicity Dirichlet average generalized type-1 type-2 Dirichlet measures functions of matrix argument Dirichlet measures in the complex domain transverse momentum spectra identified charged hadrons effective temperature kinetic freeze-out temperature initial temperature kinetic free-out volume order statistics past Tsallis entropy past lifetime (n−i+1)-out-of-n structure freezeout parameters non-extensivity qauntum chromodynamics EOS QGP q-exponentials anomalous diffusion Lévy distributions Fourier’s law generalized entropies non-equilibrium physics stochastic processes Kleiber’s law allometry nonlinear dynamics complex systems statistical mechanics complexity nonextensive Pareto student’s t Fourier entropy critical phenomena graph theory nonlinear dynamical systems nonadditive entropies nonextensive statistical mechanics Gini index Lorenz curve non-extensive composability extensivity power laws group theory Maxwell–Jüttner distribution Tsallis distribution de Sitter quantum field ΛCDM standard model solar wind electrons whistler-mode waves turbulence thermal fluctuations electromagnetic electrostatic plasma kinetic spatiotemporal patterns gradient pattern analysis q-Statistics complex networks Tsallis q-statistics Sicily rainfall data climate change n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general The aim of this Special Issue was to collect original research articles on the most recent research in nonadditive entropies and nonextensive statistical mechanics with their applications in physics and elsewhere, as well as comprehensive review articles covering these topics from a theoretical, experimental, or computational viewpoint. This generalization of the centennial Boltzmann–-Gibbs statistical mechanics and of the entropy upon which it is based were proposed in 1988 and have received, since then, many applications in natural, artificial, and social sciences. The undeniable success of the Boltzmann–-Gibbs theory is deeply related to strongly chaotic nonlinear dynamical systems. In particular, for classical systems, the standard requirement is that the maximal Lyapunov exponent is positive. At the edge of chaos, where the maximal Lyapunov exponent vanishes, the need emerges for nonadditive entropies and consistent generalizations of quantities such as the Maxwellian distributions of velocities, the celebrated Boltzmann–-Gibbs weight for energies, and Pesin-like identities. This generalized theory has received uncountable validations in complex systems. Professor Constantino Tsallis has had an outstanding global impact on physics, astrophysics, geophysics, economics, mathematics, and computational sciences, among others. In recognition of his extraordinarily creative and productive scientific life and innumerable contributions to the field of statistical physics of complex systems, this Special Issue is dedicated to him on his 80th birthday (5 November 2023). 2025-08-12T09:52:20Z 2025-08-12T09:52:20Z 2025 book ONIX_20250812T110751_9783725839995_284 9783725839995 9783725840007 https://directory.doabooks.org/handle/20.500.12854/165529 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10881 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-4000-7 10.3390/books978-3-7258-4000-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725839995 9783725840007 314 open access |
| spellingShingle | coherent system residual Tsallis entropy Shannon entropy system signature Tsallis entropy many-fermion systems mixture degree finite temperature magic numbers ion acoustic waves nonextensive statistics kappa distribution Korteweg–de Vries Burgers equation vestibular disorders insole force sensors gait analysis detrending feature extraction classification information theory subduction seismicity Dirichlet average generalized type-1 type-2 Dirichlet measures functions of matrix argument Dirichlet measures in the complex domain transverse momentum spectra identified charged hadrons effective temperature kinetic freeze-out temperature initial temperature kinetic free-out volume order statistics past Tsallis entropy past lifetime (n−i+1)-out-of-n structure freezeout parameters non-extensivity qauntum chromodynamics EOS QGP q-exponentials anomalous diffusion Lévy distributions Fourier’s law generalized entropies non-equilibrium physics stochastic processes Kleiber’s law allometry nonlinear dynamics complex systems statistical mechanics complexity nonextensive Pareto student’s t Fourier entropy critical phenomena graph theory nonlinear dynamical systems nonadditive entropies nonextensive statistical mechanics Gini index Lorenz curve non-extensive composability extensivity power laws group theory Maxwell–Jüttner distribution Tsallis distribution de Sitter quantum field ΛCDM standard model solar wind electrons whistler-mode waves turbulence thermal fluctuations electromagnetic electrostatic plasma kinetic spatiotemporal patterns gradient pattern analysis q-Statistics complex networks Tsallis q-statistics Sicily rainfall data climate change n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title | Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title_full | Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title_fullStr | Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title_full_unstemmed | Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title_short | Nonadditive Entropies and Nonextensive Statistical Mechanics |
| title_sort | nonadditive entropies and nonextensive statistical mechanics |
| topic | coherent system residual Tsallis entropy Shannon entropy system signature Tsallis entropy many-fermion systems mixture degree finite temperature magic numbers ion acoustic waves nonextensive statistics kappa distribution Korteweg–de Vries Burgers equation vestibular disorders insole force sensors gait analysis detrending feature extraction classification information theory subduction seismicity Dirichlet average generalized type-1 type-2 Dirichlet measures functions of matrix argument Dirichlet measures in the complex domain transverse momentum spectra identified charged hadrons effective temperature kinetic freeze-out temperature initial temperature kinetic free-out volume order statistics past Tsallis entropy past lifetime (n−i+1)-out-of-n structure freezeout parameters non-extensivity qauntum chromodynamics EOS QGP q-exponentials anomalous diffusion Lévy distributions Fourier’s law generalized entropies non-equilibrium physics stochastic processes Kleiber’s law allometry nonlinear dynamics complex systems statistical mechanics complexity nonextensive Pareto student’s t Fourier entropy critical phenomena graph theory nonlinear dynamical systems nonadditive entropies nonextensive statistical mechanics Gini index Lorenz curve non-extensive composability extensivity power laws group theory Maxwell–Jüttner distribution Tsallis distribution de Sitter quantum field ΛCDM standard model solar wind electrons whistler-mode waves turbulence thermal fluctuations electromagnetic electrostatic plasma kinetic spatiotemporal patterns gradient pattern analysis q-Statistics complex networks Tsallis q-statistics Sicily rainfall data climate change n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general |
| topic_facet | coherent system residual Tsallis entropy Shannon entropy system signature Tsallis entropy many-fermion systems mixture degree finite temperature magic numbers ion acoustic waves nonextensive statistics kappa distribution Korteweg–de Vries Burgers equation vestibular disorders insole force sensors gait analysis detrending feature extraction classification information theory subduction seismicity Dirichlet average generalized type-1 type-2 Dirichlet measures functions of matrix argument Dirichlet measures in the complex domain transverse momentum spectra identified charged hadrons effective temperature kinetic freeze-out temperature initial temperature kinetic free-out volume order statistics past Tsallis entropy past lifetime (n−i+1)-out-of-n structure freezeout parameters non-extensivity qauntum chromodynamics EOS QGP q-exponentials anomalous diffusion Lévy distributions Fourier’s law generalized entropies non-equilibrium physics stochastic processes Kleiber’s law allometry nonlinear dynamics complex systems statistical mechanics complexity nonextensive Pareto student’s t Fourier entropy critical phenomena graph theory nonlinear dynamical systems nonadditive entropies nonextensive statistical mechanics Gini index Lorenz curve non-extensive composability extensivity power laws group theory Maxwell–Jüttner distribution Tsallis distribution de Sitter quantum field ΛCDM standard model solar wind electrons whistler-mode waves turbulence thermal fluctuations electromagnetic electrostatic plasma kinetic spatiotemporal patterns gradient pattern analysis q-Statistics complex networks Tsallis q-statistics Sicily rainfall data climate change n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general |
| url | ONIX_20250812T110751_9783725839995_284 |