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Introduction to Nonextensive Statistical Mechanics

Release on 2009-03-112009-03-11 by Constantino Tsallis
Introduction to Nonextensive Statistical Mechanics

Author: Constantino Tsallis

Publisher: Springer Science & Business Media

ISBN: 9780387853581

Category: Science

Page: 382

View: 541

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
Science
Introduction to Nonextensive Statistical Mechanics
Language: en
Pages: 382

Introduction to Nonextensive Statistical Mechanics

Authors: Constantino Tsallis
Categories: Science
Type: BOOK - Published: 2009-03-11 - Publisher: Springer Science & Business Media

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
Introduction to the Theory of Complex Systems
Language: en
Pages: 480

Introduction to the Theory of Complex Systems

Authors: Stefan Thurner, Rudolf Hanel, Peter Klimek
Categories: Science
Type: BOOK - Published: 2018-09-05 - Publisher: Oxford University Press

This book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation and spreading, or the internet and social media. Complex systems are systems composed of
Generalised Thermostatistics
Language: en
Pages: 201

Generalised Thermostatistics

Authors: Jan Naudts
Categories: Mathematics
Type: BOOK - Published: 2011-02-07 - Publisher: Springer Science & Business Media

The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book
New Trends in Statistical Physics of Complex Systems
Language: en
Pages: 202

New Trends in Statistical Physics of Complex Systems

Authors: Antonio M. Scarfone
Categories: Mathematics
Type: BOOK - Published: 2019-01-28 - Publisher: MDPI

This book is a printed edition of the Special Issue "New Trends in Statistical Physics of Complex Systems" that was published in Entropy
Multi-scale Dynamical Processes in Space and Astrophysical Plasmas
Language: en
Pages: 232

Multi-scale Dynamical Processes in Space and Astrophysical Plasmas

Authors: Manfred P. Leubner, Zoltán Vörös
Categories: Science
Type: BOOK - Published: 2012-08-01 - Publisher: Springer Science & Business Media

Magnetized plasmas in the universe exhibit complex dynamical behavior over a huge range of scales. The fundamental mechanisms of energy transport, redistribution and conversion occur at multiple scales. The driving mechanisms often include energy accumulation, free-energy-excited relaxation processes, dissipation and self-organization. The plasma processes associated with energy conversion, transport and

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