Introduction to Nonextensive Statistical Mechanics - Constantino Tsallis

Introduction to Nonextensive Statistical Mechanics

Approaching a Complex World
Buch | Softcover
382 Seiten
2010 | Softcover reprint of hardcover 1st ed. 2009
Springer-Verlag New York Inc.
978-1-4419-2748-4 (ISBN)
64,19 inkl. MwSt
zur Neuauflage
  • Titel erscheint in neuer Auflage
  • Artikel merken
Zu diesem Artikel existiert eine Nachauflage
With a focus firmly on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, this book covers in a comprehensive way one of the greatest monuments of contemporary physics, conceived more than 130 years ago.
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 theory
Presents 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 others
Offers a detailed derivation of results, illustrations and for the first time detailed presentation of Nonextensive Statistical Mechanics

http://tsallis.cat.cbpf.br/biblio.htm Born 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.

Basics or How the Theory Works.- Historical Background and Physical Motivations.- Learning with Boltzmann–Gibbs 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.

Erscheint lt. Verlag 6.12.2010
Zusatzinfo 40 Illustrations, color; 198 Illustrations, black and white; XVIII, 382 p. 238 illus., 40 illus. in color.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Gewicht 677 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 1-4419-2748-4 / 1441927484
ISBN-13 978-1-4419-2748-4 / 9781441927484
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlagen – Anwendungen – Perspektiven

von Matthias Homeister

Buch | Softcover (2022)
Springer Vieweg (Verlag)
34,99
Eine Einführung in die Systemtheorie

von Margot Berghaus

Buch | Softcover (2022)
UTB (Verlag)
25,00