Nonextensive Statistical Mechanics And Its Applications

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Introduction to Nonextensive Statistical Mechanics

Author : Constantino Tsallis
Publisher : Springer Nature
ISBN 13 : 3030795691
Total Pages : 575 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Introduction to Nonextensive Statistical Mechanics by : Constantino Tsallis

Download or read book Introduction to Nonextensive Statistical Mechanics written by Constantino Tsallis and published by Springer Nature. This book was released on 2023-01-30 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonextensive Statistical Mechanics and Its Applications

Author : Sumiyoshi Abe
Publisher : Springer
ISBN 13 : 354040919X
Total Pages : 280 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Nonextensive Statistical Mechanics and Its Applications by : Sumiyoshi Abe

Download or read book Nonextensive Statistical Mechanics and Its Applications written by Sumiyoshi Abe and published by Springer. This book was released on 2008-01-11 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field.

Nonextensive Statistical Mechanics and Its Applications

Author : Sumiyoshi Abe
Publisher : Springer
ISBN 13 : 9783540412083
Total Pages : 278 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Nonextensive Statistical Mechanics and Its Applications by : Sumiyoshi Abe

Download or read book Nonextensive Statistical Mechanics and Its Applications written by Sumiyoshi Abe and published by Springer. This book was released on 2001-02-26 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field.

Nonextensive Entropy

Author : Murray Gell-Mann
Publisher : Oxford University Press
ISBN 13 : 9780198036210
Total Pages : 440 pages
Book Rating : 4.0/5 (362 download)

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Book Synopsis Nonextensive Entropy by : Murray Gell-Mann

Download or read book Nonextensive Entropy written by Murray Gell-Mann and published by Oxford University Press. This book was released on 2004-04-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Kappa Distributions

Author : George Livadiotis
Publisher : Elsevier
ISBN 13 : 0128046392
Total Pages : 740 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Kappa Distributions by : George Livadiotis

Download or read book Kappa Distributions written by George Livadiotis and published by Elsevier. This book was released on 2017-04-19 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics/thermodynamics. Separated into three major parts, the book covers theoretical methods, analytical methods in plasmas, and applications in space plasmas. The first part of the book focuses on basic aspects of the statistical theory of kappa distributions, beginning with their connection to the solid backgrounds of non-extensive statistical mechanics. The book then moves on to plasma physics, and is devoted to analytical methods related to kappa distributions on various basic plasma topics, spanning linear/nonlinear plasma waves, solitons, shockwaves, and dusty plasmas. The final part of the book deals with applications in space plasmas, focusing on applications of theoretical and analytical developments in space plasmas from the heliosphere and beyond, in other astrophysical plasmas. Kappa Distributions is ideal for space, plasma, and statistical physicists; geophysicists, especially of the upper atmosphere; Earth and planetary scientists; and astrophysicists. - Answers important questions, such as how plasma waves are affected by kappa distributions and how solar wind, magnetospheres, and other geophysical, space, and astrophysical plasmas can be modeled using kappa distributions - Presents the features of kappa distributions in the context of plasmas, including how kappa indices, temperatures, and densities vary among the species populations in different plasmas - Provides readers with the information they need to decide which specific formula of kappa distribution should be used for a certain occasion and system (toolbox)

An Introduction to Statistical Mechanics and Thermodynamics

Author : Robert H. Swendsen
Publisher : Oxford University Press
ISBN 13 : 0199646945
Total Pages : 422 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis An Introduction to Statistical Mechanics and Thermodynamics by : Robert H. Swendsen

Download or read book An Introduction to Statistical Mechanics and Thermodynamics written by Robert H. Swendsen and published by Oxford University Press. This book was released on 2012-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

Dynamics and Thermodynamics of Systems with Long Range Interactions

Author : Thierry Dauxois
Publisher : Springer
ISBN 13 : 3540458352
Total Pages : 492 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Dynamics and Thermodynamics of Systems with Long Range Interactions by : Thierry Dauxois

Download or read book Dynamics and Thermodynamics of Systems with Long Range Interactions written by Thierry Dauxois and published by Springer. This book was released on 2008-01-11 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.

Nonextensive Entropy

Author : Murray Gell-Mann
Publisher : Oxford University Press, USA
ISBN 13 : 0195159772
Total Pages : 439 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis Nonextensive Entropy by : Murray Gell-Mann

Download or read book Nonextensive Entropy written by Murray Gell-Mann and published by Oxford University Press, USA. This book was released on 2004 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface, Murray Gell-Mann and Constantino Tsallis. Nonextensive Statistical Mechanics: Construction and Physical Interpretation, Constantino Tsallis. Generalized Nonadditive Information Theory and Quantum Entanglement, Sumiyoshi Abe. Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy, Alberto Robledo. Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems, Marcelo L. Lyra. Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena, Fulvio Baldovin. Nonextensive Effects in Hamiltonian S.

Complexity of Seismic Time Series

Author : Tamaz Chelidze
Publisher : Elsevier
ISBN 13 : 012813139X
Total Pages : 548 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Complexity of Seismic Time Series by : Tamaz Chelidze

Download or read book Complexity of Seismic Time Series written by Tamaz Chelidze and published by Elsevier. This book was released on 2018-05-21 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity of Seismic Time Series: Measurement and Application applies the tools of nonlinear dynamics to seismic analysis, allowing for the revelation of new details in micro-seismicity, new perspectives in seismic noise, and new tools for prediction of seismic events. The book summarizes both advances and applications in the field, thus meeting the needs of both fundamental and practical seismology. Merging the needs of the classical field and the very modern terms of complexity science, this book covers theory and its application to advanced nonlinear time series tools to investigate Earth's vibrations, making it a valuable tool for seismologists, hazard managers and engineers. - Covers the topic of Earth's vibrations involving many different aspects of theoretical and observational seismology - Identifies applications of advanced nonlinear time series tools for the characterization of these Earth's signals - Merges the needs of geophysics with the applications of complexity theory - Describes different methodologies to analyze problems, not only in the context of geosciences, but also those associated with different complex systems across disciplines

Advances in Nonlinear Geosciences

Author : Anastasios A. Tsonis
Publisher : Springer
ISBN 13 : 9783319865034
Total Pages : 707 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Advances in Nonlinear Geosciences by : Anastasios A. Tsonis

Download or read book Advances in Nonlinear Geosciences written by Anastasios A. Tsonis and published by Springer. This book was released on 2018-05-17 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.

Issues in Applied Physics: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464963371
Total Pages : 3912 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Applied Physics: 2011 Edition by :

Download or read book Issues in Applied Physics: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 3912 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Applied Physics / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Applied Physics. The editors have built Issues in Applied Physics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Applied Physics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Physics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Interdisciplinary Aspects of Turbulence

Author : Wolfgang Hillebrandt
Publisher : Springer Science & Business Media
ISBN 13 : 9783540789604
Total Pages : 353 pages
Book Rating : 4.7/5 (896 download)

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Book Synopsis Interdisciplinary Aspects of Turbulence by : Wolfgang Hillebrandt

Download or read book Interdisciplinary Aspects of Turbulence written by Wolfgang Hillebrandt and published by Springer Science & Business Media. This book was released on 2008-11-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Safety and Reliability of Complex Engineered Systems

Author : Luca Podofillini
Publisher : CRC Press
ISBN 13 : 1315648415
Total Pages : 730 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Safety and Reliability of Complex Engineered Systems by : Luca Podofillini

Download or read book Safety and Reliability of Complex Engineered Systems written by Luca Podofillini and published by CRC Press. This book was released on 2015-09-03 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety and Reliability of Complex Engineered Systems contains the Proceedings of the 25th European Safety and Reliability Conference, ESREL 2015, held 7-10 September 2015 in Zurich, Switzerland. It includes about 570 papers accepted for presentation at the conference. These contributions focus on theories and methods in the area of risk, safety and

Complexity, Metastability And Nonextensivity - Proceedings Of The 31st Workshop Of The International School Of Solid State Physics

Author : Constantino Tsallis
Publisher : World Scientific
ISBN 13 : 9814479187
Total Pages : 427 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Complexity, Metastability And Nonextensivity - Proceedings Of The 31st Workshop Of The International School Of Solid State Physics by : Constantino Tsallis

Download or read book Complexity, Metastability And Nonextensivity - Proceedings Of The 31st Workshop Of The International School Of Solid State Physics written by Constantino Tsallis and published by World Scientific. This book was released on 2005-09-23 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad introduction and overview of current interdisciplinary studies on complexity, this volume is an ideal starting point for scientists and graduate students who wish to enter the field. The book features a diverse collection of the latest research work not found in a single volume elsewhere.Among the highly regarded contributors to the volume are the 2004 Boltzmann medalists E G D Cohen and H E Stanley; G Parisi, Boltzmann medalist in 1992 and Dirac medalist in 1999; and numerous internationally renowned experts, such as S Abe, F T Arecchi, J-P Bouchaud, A Coniglio, W Ebeling, P Grigolini, R Mantegna, M Paczuski, A Robledo, L Pietronero, A Vespignani, and T Vicsek.

Entropy Applications in Environmental and Water Engineering

Author : Huijuan Cui
Publisher : MDPI
ISBN 13 : 3038972223
Total Pages : 512 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Entropy Applications in Environmental and Water Engineering by : Huijuan Cui

Download or read book Entropy Applications in Environmental and Water Engineering written by Huijuan Cui and published by MDPI. This book was released on 2019-03-07 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Future Perspectives in Risk Models and Finance

Author : Alain Bensoussan
Publisher : Springer
ISBN 13 : 3319075241
Total Pages : 325 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Future Perspectives in Risk Models and Finance by : Alain Bensoussan

Download or read book Future Perspectives in Risk Models and Finance written by Alain Bensoussan and published by Springer. This book was released on 2014-11-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a perspective on a number of approaches to financial modelling and risk management. It examines both theoretical and practical issues. Theoretically, financial risks models are models of a real and a financial “uncertainty”, based on both common and private information and economic theories defining the rules that financial markets comply to. Financial models are thus challenged by their definitions and by a changing financial system fueled by globalization, technology growth, complexity, regulation and the many factors that contribute to rendering financial processes to be continuously questioned and re-assessed. The underlying mathematical foundations of financial risks models provide future guidelines for risk modeling. The book’s chapters provide selective insights and developments that can contribute to better understand the complexity of financial modelling and its ability to bridge financial theories and their practice. Future Perspectives in Risk Models and Finance begins with an extensive outline by Alain Bensoussan et al. of GLM estimation techniques combined with proofs of fundamental results. Applications to static and dynamic models provide a unified approach to the estimation of nonlinear risk models. A second section is concerned with the definition of risks and their management. In particular, Guegan and Hassani review a number of risk models definition emphasizing the importance of bi-modal distributions for financial regulation. An additional chapter provides a review of stress testing and their implications. Nassim Taleb and Sandis provide an anti-fragility approach based on “skin in the game”. To conclude, Raphael Douady discusses the noncyclical CAR (Capital Adequacy Rule) and their effects of aversion of systemic risks. A third section emphasizes analytic financial modelling approaches and techniques. Tapiero and Vallois provide an overview of mathematical systems and their use in financial modeling. These systems span the fundamental Arrow-Debreu framework underlying financial models of complete markets and subsequently, mathematical systems departing from this framework but yet generalizing their approach to dynamic financial models. Explicitly, models based on fractional calculus, on persistence (short memory) and on entropy-based non-extensiveness. Applications of these models are used to define a modeling approach to incomplete financial models and their potential use as a “measure of incompleteness”. Subsequently Bianchi and Pianese provide an extensive overview of multi-fractional models and their important applications to Asset price modeling. Finally, Tapiero and Jinquyi consider the binomial pricing model by discussing the effects of memory on the pricing of asset prices.

Earthquakes and Their Impact on Society

Author : Sebastiano D'Amico
Publisher : Springer
ISBN 13 : 3319217534
Total Pages : 718 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Earthquakes and Their Impact on Society by : Sebastiano D'Amico

Download or read book Earthquakes and Their Impact on Society written by Sebastiano D'Amico and published by Springer. This book was released on 2015-09-28 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an integrated approach to the assessment of seismic hazards. The reduction of losses expected by future earthquakes is probably the most important contribution of seismology to society. Large earthquakes occurred in densely populated areas highlight the dramatic inadequacy of a massive portion of the buildings demonstrating the high risks of modern industrial societies. Building earthquake-resistant structures and retrofitting old buildings on a national scale can be extremely expensive and can represent an economic challenge even for developed western countries. Earthquakes can cause also several psychological problems due to the fact that such kind of disasters will result in casualties, collapsing of houses, strategic buildings and facilities and deeply affect a community. Moreover in our society it is necessary to properly plan emergency responses and rescues taking into account any possible secondary effect in order to avoid more casualties.