Introduction to Nonextensive Statistical Mechanics [electronic resource] : Approaching a Complex World / by Constantino Tsallis.

Basics or How the Theory Works -- Historical Background and Physical Motivations -- Learning with BoltzmannGibbs Statistical Mechanics -- Generalizing What We Learnt: Nonextensive Statistical Mechanics -- Foundations or Why the Theory Works -- Stochastic Dynamical Foundations of~Nonextensive Statistical Mechanics -- Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics -- Generalizing Nonextensive Statistical Mechanics -- Applications or What for the Theory Works -- Thermodynamical and Nonthermodynamical Applications -- Last (But Not Least) -- Final Comments and Perspectives.

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.

ZDB-2-PHA