Nonextensive Entropy
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| Author | : Murray Gell-Mann |
| Publisher | : Oxford University Press |
| Total Pages | : 440 |
| Release | : 2004-04-15 |
| Genre | : Science |
| ISBN | : 9780198036210 |
A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to description using approaches drawn from thermodynamics or statistical mechanics, particularly approaches involving the maximization of entropy and of Boltzmann-Gibbs statistical mechanics and standard laws in a natural way. The book addresses the interdisciplinary applications of these ideas, and also on various phenomena that could possibly be quantitatively describable in terms of these ideas.
| Author | : Constantino Tsallis |
| Publisher | : Springer Nature |
| Total Pages | : 575 |
| Release | : 2023-01-30 |
| Genre | : Science |
| ISBN | : 3030795691 |
This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics. Conceived nearly 150 years ago by Maxwell, Boltzmann and Gibbs, the BG theory, one of the greatest monuments of contemporary physics, exhibits many impressive successes in physics, chemistry, mathematics, and computational sciences. Presently, several thousands of publications by scientists around the world have been dedicated to its nonextensive generalization. A variety of applications have emerged in complex systems and its mathematical grounding is by now well advanced. Since the first edition release thirteen years ago, there has been a vast amount of new results in the field, all of which have been incorporated in this comprehensive second edition. Heavily revised and updated with new sections and figures, the second edition remains the go-to text on the subject. A pedagogical introduction to the BG theory concepts and their generalizations – nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT’s, complex networks, among others – is presented in this book, as well as a selection of paradigmatic applications in various sciences together with diversified experimental verifications of some of its predictions. Introduction to Nonextensive Statistical Mechanics is suitable for students and researchers with an interest in complex systems and statistical physics.
| Author | : Marc Duldig |
| Publisher | : World Scientific |
| Total Pages | : 381 |
| Release | : 2006-06-24 |
| Genre | : Science |
| ISBN | : 9814479616 |
Advances in Geosciences is the result of a concerted effort in bringing the latest results and planning activities related to earth and space science in Asia and the international arena. The volume editors are all leading scientists in their research fields covering five sections: Solid Earth (SE), Solar Terrestrial (ST), Planetary Science (PS), Hydrological Science (HS), and Oceans and Atmospheres (OA). The main purpose is to highlight the scientific issues essential to the study of earthquakes, tsunamis, climate change, drought, flood, typhoons, space weathers, and planetary exploration.This volume is abstracted in NASA's Astrophysics Data System: ads.harvard.edu
| Author | : M Zuhair Nashed |
| Publisher | : World Scientific |
| Total Pages | : 757 |
| Release | : 2022-08-30 |
| Genre | : Science |
| ISBN | : 9811259410 |
Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, probability theory, statistics, dynamical systems, and ergodic theory. During the past 50 years, dozens of new concepts of entropy have been introduced and studied in many disciplines. This volume captures significant developments in this arena. It features expository, review, and research papers by distinguished mathematicians and scientists from many disciplines. The level of mathematics ranges from intermediate level to research level. Each chapter contains a comprehensive list of references. Topics include entropy and society, entropy and time, Souriau entropy on symplectic model of statistical physics, new definitions of entropy, geometric theory of heat and information, maximum entropy in Bayesian networks, maximum entropy methods, entropy analysis of biomedical signals (review and comparison of methods), spectral entropy and its application to video coding and speech coding, a comprehensive review of 50 years of entropy in dynamics, a comprehensive review on entropy, entropy-like quantities and applications, topological entropy of multimodal maps, entropy production in complex systems, entropy production and convergence to equilibrium, reversibility and irreversibility in entropy, nonequilibrium entropy, index of various entropy, entropy and the greatest blunder ever.
| Author | : Rasmus Fehrmann |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 176 |
| Release | : 2019-05-20 |
| Genre | : Science |
| ISBN | : 3110583631 |
The current book brings together the latest developments in the area of ionic liquids, including synthesis, purity control, toxicity, and scaling-up technologies. In addition, the authors explore the applications of ionic liquids in organic synthesis and catalysis, separation techniques and nanomaterials engineering. Written by key experts in the field, this book is an invaluable material for organic and green chemists in academia and industry.
| Author | : Wolfgang Hillebrandt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 353 |
| Release | : 2008-11-20 |
| Genre | : Science |
| ISBN | : 9783540789604 |
Written by experts from geophysics, astrophysics and engineering, this unique book on the interdisciplinary aspects of turbulence offers recent advances in the field and covers everything from the very nature of turbulence to some practical applications.
| Author | : Jasjit S. Suri |
| Publisher | : Artech House |
| Total Pages | : 449 |
| Release | : 2008 |
| Genre | : Medical |
| ISBN | : 1596931450 |
This groundbreaking resource offers you exclusive coverage of the latest techniques in diagnostic and therapeutic 3-D ultrasound imaging instrumentation and techniques. Providing a solid overview of potential applications in clinical practice, you find need-to-know details on major diseases, including vascular diseases, breast cancer, cardiac abnormalities and prostate cancer.
| Author | : Hans Volker Klapdor-Kleingrothaus |
| Publisher | : World Scientific |
| Total Pages | : 603 |
| Release | : 2010 |
| Genre | : Science |
| ISBN | : 9814293784 |
Dark matter and dark energy are one of the central mysteries in modern physics, although modern astrophysical and cosmological observations and particle physics experiments can and will provide vital clues in uncovering its true nature. The DARK 2009 Conference brought together World?s leading researchers in both astrophysics and particle physics, providing an opportunity and platform to present their latest results to the community. The topics covered are wide-ranging, from terrestrial underground experiments to space experimental efforts to search for dark matter, and on the theoretical aspects, from the generating of a fifth family as origin of dark matter, extra dimensions and dark matter to non-standard Wigner classes and dark matter. One of the new highlights was certainly a possible connection between a neutrino mass as observed by nuclear double beta decay and the dark energy. Highly important and relevant in its field, the book presents a vital snapshot of the sometimes seemingly disparate areas of dark matter research and offers an exciting overview of current ideas and future directions.
| Author | : Hans J. Haubold |
| Publisher | : MDPI |
| Total Pages | : 305 |
| Release | : 2018-03-23 |
| Genre | : Mathematics |
| ISBN | : 3038426652 |
This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms
| Author | : Huijuan Cui |
| Publisher | : MDPI |
| Total Pages | : 512 |
| Release | : 2019-03-07 |
| Genre | : Technology & Engineering |
| ISBN | : 3038972223 |
Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture, sediment transport, surface water and groundwater quality modeling, ecosystems modeling, water distribution networks, environmental and water resources management, and parameter estimation. Such applications have used several different entropy formulations, such as Shannon, Tsallis, Rényi, Burg, Kolmogorov, Kapur, configurational, and relative entropies, which can be derived in time, space, or frequency domains. More recently, entropy-based concepts have been coupled with other theories, including copula and wavelets, to study various issues associated with environmental and water resources systems. Recent studies indicate the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering, including establishing and explaining physical connections between theory and reality. The objective of this Special Issue is to provide a platform for compiling important recent and current research on the applications of entropy theory in environmental and water engineering. The contributions to this Special Issue have addressed many aspects associated with entropy theory applications and have shown the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering.
