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Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

Hardcover

General SciencePhysics

Currently unavailable to order

ISBN10: 0387853588
ISBN13: 9780387853581
Publisher: Springer
Published: Mar 11 2009
Pages: 382
Weight: 1.75
Height: 0.90 Width: 6.30 Depth: 9.30
Language: English

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.

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