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Title
Introduction to nonextensive statistical mechanics : approaching a complex world / Constantino Tsallis.
Edition
Second edition.
ISBN
9783030795696 (electronic bk.)
3030795691 (electronic bk.)
9783030795689
3030795683
Published
Cham : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xvii, 569 pages) : illustrations (some color)
Item Number
10.1007/978-3-030-79569-6 doi
Call Number
QC174.8
Dewey Decimal Classification
530.13
Summary
Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics in particular has walked along these paths since its very beginning. 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 CLTs, 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.
Note
Previous edition: 2009.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Chapter 1: Historical Background and Physical Motivations
Chapter 2: Learning with BoltzmannGibbs Statistical Mechanics
Chapter 3: Generalizing What We Learnt: Nonextensive Statistical Mechanics
Chapter 4: Stochastic Dynamical Foundations of~Nonextensive Statistical Mechanics
Chapter 5: Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics
Chapter 6: Generalizing Nonextensive Statistical Mechanics
Chapter 7: Thermodynamical and Nonthermodynamical Applications
Chapter 8: Final Comments and Perspectives
Appendix A
Appendix B
Bibliography
Index.
