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Introduction to Nonextensive Statistical Mechanics

Approaching a Complex World

  • Constantino Tsallis

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Basics or How the Theory Works

    1. Front Matter
      Pages 1-1
    2. Constantino Tsallis
      Pages 3-17
  3. Foundations or Why the Theory Works

    1. Front Matter
      Pages 107-107
    2. Constantino Tsallis
      Pages 209-218
  4. Applications or What for the Theory Works

    1. Front Matter
      Pages 219-219
    2. Constantino Tsallis
      Pages 221-301
  5. Last (But Not Least)

    1. Front Matter
      Pages 302-302
    2. Constantino Tsallis
      Pages 305-327
  6. Back Matter
    Pages 329-382

About this book

Introduction

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 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. A pedagogical introduction to its concepts – nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, and extensions of the standard central limit theorems, among others – is presented in this book, as well as a selection of paradigmatic applications in various sciences and 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.

Keywords

Tsallis entropy Tsallis statistics boltzmann-gibbs theory complex systems explained entropy studies metastable states nonextensive Tsallis nonextensive textbook nonlinear dynamics q-statistics textbook statistical mechanics textbook

Authors and affiliations

  • Constantino Tsallis
    • 1
    • 2
  1. 1.Centro Brasileiro de Pesquisas FísicasRua Xavier Sigaud 150Brazil
  2. 2.Santa Fe InstituteSanta FeUSA

Bibliographic information

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