Introduction To Nonextensive Statistical Mechanics
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Introduction To Nonextensive Statistical Mechanics
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Author : Constantino Tsallis
language : en
Publisher: Springer Nature
Release Date : 2023-01-30
Introduction To Nonextensive Statistical Mechanics written by Constantino Tsallis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-30 with Science categories.
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.
Mathematical Foundations Of Nonextensive Statistical Mechanics
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Author : Sabir Umarov
language : en
Publisher:
Release Date : 2022
Mathematical Foundations Of Nonextensive Statistical Mechanics written by Sabir Umarov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Electronic books categories.
An Introduction To Statistical Mechanics
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Author :
language : en
Publisher:
Release Date : 1958
An Introduction To Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
The Statistical Mechanics Of Financial Markets
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Author : Johannes Voit
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
The Statistical Mechanics Of Financial Markets written by Johannes Voit and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This textbook describes parallels between statistical physics and finance - both those established in the 100-year-long interaction between these disciplines, as well as new research results on capital markets. The random walk, well known in physics, is also the basic model in finance, upon which are built, for example, the Black--Scholes theory of option pricing and hedging, or methods of risk control using diversification. Here the underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated. Computer simulations of interacting agent models of financial markets provide insights into the origins of asset price fluctuations. Stock exchange crashes can be modelled in ways analogous to phase transitions and earthquakes. These models allow for predictions. This study edition has been updated with a presentation of several new and significant developments, e.g. the dynamics of volatility smiles and implied volatility surfaces, path integral approaches to option pricing, a new and accurate simulation scheme for options, multifractals, the application of nonextensive statistical mechanics to financial markets, and the minority game. Moreover, the book was scanned for and corrected from errors, both typographical and in presentation.
An Introduction To Chaos In Nonequilibrium Statistical Mechanics
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Author : J. R. Dorfman
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-28
An Introduction To Chaos In Nonequilibrium Statistical Mechanics written by J. R. Dorfman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-28 with Science categories.
Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Kappa Distributions
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Author : George Livadiotis
language : en
Publisher: Elsevier
Release Date : 2017-04-19
Kappa Distributions written by George Livadiotis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Science categories.
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
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Author : Robert H. Swendsen
language : en
Publisher: Oxford University Press
Release Date : 2012-03
An Introduction To Statistical Mechanics And Thermodynamics written by Robert H. Swendsen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03 with Mathematics categories.
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.
Mathematical Foundations Of Nonextensive Statistical Mechanics
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Author : Sabir Umarov
language : en
Publisher: World Scientific
Release Date : 2022-03-03
Mathematical Foundations Of Nonextensive Statistical Mechanics written by Sabir Umarov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Science categories.
The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-exponential function, q-Gaussian distribution, q-Fourier transform, q-central limit theorems, and other related objects are discussed rigorously with detailed mathematical rational. The book also contains recent results obtained in this direction and challenging open problems. Each chapter is accompanied with additional useful notes including the history of development and related bibliographies for further reading.
Nonextensive Statistical Mechanics And Its Applications
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Author : Sumiyoshi Abe
language : en
Publisher: Springer
Release Date : 2008-01-11
Nonextensive Statistical Mechanics And Its Applications written by Sumiyoshi Abe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
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.
Dynamics And Thermodynamics Of Systems With Long Range Interactions
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Author : Thierry Dauxois
language : en
Publisher: Springer
Release Date : 2008-01-11
Dynamics And Thermodynamics Of Systems With Long Range Interactions written by Thierry Dauxois and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
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.