Introduction to Nonextensive Statistical Mechanics

Approaching a Complex World

Constantino Tsallis author

Format:Hardback

Publisher:Springer Nature Switzerland AG

Published:31st Jan '23

Should be back in stock very soon

Introduction to Nonextensive Statistical Mechanics cover

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.

“This book provides an introduction into the foundations of nonextensive statistical mechanics and an overview of its numerous applications. … the author answers to some common critiques of the theory in the form of question-answer, which also serves a good summary of the key ideas developed throughout the book” (Artem Sapozhniko, zbMATH 1522.82002, 2023)

ISBN: 9783030795689

Dimensions: unknown

Weight: unknown

569 pages

2nd ed. 2023