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Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

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Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World Cover

 

Synopses & Reviews

Publisher Comments:

Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics, in particular, obviously walks along these paths since its very beginning. This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits uncountable - some of them impressive - successes in physics, chemistry, mathematics, and computational sciences, to name a few. Presently, more than two thousand publications, by over 1800 scientists around the world, have been dedicated to the nonextensive generalization. Remarkable applications have emerged, and its mathematical grounding is by now relatively well established. A pedagogical introduction to its concepts - nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT's, 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.This is the first pedagogical book on the subject, written by the proponent of the theoryPresents many applications to interdisciplinary complex phenomena in virtually all sciences, ranging from physics to medicine, from economics to biology, through signal and image processing and othersOffers a detailed derivation of results, illustrations and for the first time detailed presentation of Nonextensive Statistical Mechanics

About the Author

http://tsallis.cat.cbpf.br/biblio.htmBorn in Athens-Greece, grew up in Argentina, Docteur d' Etat from the University of Paris, established in Brazil since 1975, where he acquired the Brazilian citizenship. Many of the most recent theoretical results have, as co-author, Murray Gell-Mann, Nobel Laureate in Physics for his discovery of quarks. The author has recently done a two-year-long visit as researcher at the Santa Fe Institute, New Mexico.

Table of Contents

Preface.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing what we Learnt:Useful Mathematical Formulae.- Appendix B: On the Extensivity of Sq for N correlated Binary Subsystems.- Appendix C: On the Extensivity of Sq for N correlated Ternary Subsystems.- On the Extensivity of Sq for N correlated Continuous Subsystems / Nonextensive Statistical Mechanics.- Stochastic Dynamical Foundations of Nonextensive Statistical Mechanics.- Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics.- Generalizing Nonextensive Statistical Mechanics.- Thermodynamical and Non-Thermodynamical Applications.- Final Comments and Perspectives.- Appendix A.

Product Details

ISBN:
3330000216122
Subtitle:
Approaching a Complex World
Publisher:
Springer
Author:
Tsallis, Constantino
Subject:
Physics
Subject:
Astrophysics & Space Science
Subject:
Mathematical Physics
Subject:
Statistical mechanics
Subject:
Physics-General
Subject:
Physics-Math
Subject:
Tsallis entropy
Subject:
Tsallis statistics
Subject:
boltzmann-gibbs theory
Subject:
complex systems explained
Subject:
entropy studies
Subject:
metastable states
Subject:
nonextensive Tsallis
Subject:
nonextensive textbook
Subject:
q-statistics textbook
Subject:
statistical mechanics textbook
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Astrophysics and Astroparticles <P>Generalization of the ubiquitous Boltzmann-Gibbs theory</P> <P>First pedagogical book on the subject, written by the proponent of the theory</P> <P>Many applications to interdisciplinary complex phenomena in virtually al
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2009
Binding:
ELECTRONIC
Language:
English
Pages:
382

Related Subjects

Science and Mathematics » Physics » Astrophysics
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math

Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World
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Product details 382 pages Springer - English 3330000216122 Reviews:
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