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Nonextensive Statistical Mechanics and Its Applications

2008-01-11 Science
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Release : 2008-01-11
Genre : Science
Kind : eBook
Book Rating : 19X/5 ( reviews)

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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. This book was released on 2008-01-11. 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

2001-02-26 Science
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Release : 2001-02-26
Genre : Science
Kind : eBook
Book Rating : 083/5 ( reviews)

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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. This book was released on 2001-02-26. 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.

Introduction to Nonextensive Statistical Mechanics

2023-01-30 Science
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Release : 2023-01-30
Genre : Science
Kind : eBook
Book Rating : 691/5 ( reviews)

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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. This book was released on 2023-01-30. 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 Entropy

2004-04-15 Science
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Release : 2004-04-15
Genre : Science
Kind : eBook
Book Rating : 210/5 ( reviews)

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Book Synopsis Nonextensive Entropy by : Murray Gell-Mann

Download or read book Nonextensive Entropy written by Murray Gell-Mann. This book was released on 2004-04-15. 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

2017-04-19 Science
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Release : 2017-04-19
Genre : Science
Kind : eBook
Book Rating : 392/5 ( reviews)

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Book Synopsis Kappa Distributions by : George Livadiotis

Download or read book Kappa Distributions written by George Livadiotis. This book was released on 2017-04-19. 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)

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