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Introduction to Nonextensive Statistical Mechanics

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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 Statistical Mechanics and Its Applications

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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.

Mathematical Foundations Of Nonextensive Statistical Mechanics

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Release : 2022-03-03
Genre : Science
Kind : eBook
Book Rating : 177/5 ( reviews)

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Book Synopsis Mathematical Foundations Of Nonextensive Statistical Mechanics by : Sabir Umarov

Download or read book Mathematical Foundations Of Nonextensive Statistical Mechanics written by Sabir Umarov. This book was released on 2022-03-03. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
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.

Mathematical Foundations Of Nonextensive Statistical Mechanics

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Author :
Release : 2022
Genre : Electronic books
Kind : eBook
Book Rating : 169/5 ( reviews)

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Book Synopsis Mathematical Foundations Of Nonextensive Statistical Mechanics by : Sabir Umarov

Download or read book Mathematical Foundations Of Nonextensive Statistical Mechanics written by Sabir Umarov. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt:

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