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Introduction to nonextensive statistical mechanics: approaching a complex world
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...
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Lenguaje: | eng |
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Springer
2010
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Acceso en línea: | https://dx.doi.org/10.1007/978-0-387-85359-8 http://cds.cern.ch/record/1339539 |
_version_ | 1780922079377358848 |
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author | Tsallis, Constantino |
author_facet | Tsallis, Constantino |
author_sort | Tsallis, Constantino |
collection | CERN |
description | 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. |
id | cern-1339539 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2010 |
publisher | Springer |
record_format | invenio |
spelling | cern-13395392021-04-22T00:56:52Zdoi:10.1007/978-0-387-85359-8http://cds.cern.ch/record/1339539engTsallis, ConstantinoIntroduction to nonextensive statistical mechanics: approaching a complex worldMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:13395392010 |
spellingShingle | Mathematical Physics and Mathematics Tsallis, Constantino Introduction to nonextensive statistical mechanics: approaching a complex world |
title | Introduction to nonextensive statistical mechanics: approaching a complex world |
title_full | Introduction to nonextensive statistical mechanics: approaching a complex world |
title_fullStr | Introduction to nonextensive statistical mechanics: approaching a complex world |
title_full_unstemmed | Introduction to nonextensive statistical mechanics: approaching a complex world |
title_short | Introduction to nonextensive statistical mechanics: approaching a complex world |
title_sort | introduction to nonextensive statistical mechanics: approaching a complex world |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-0-387-85359-8 http://cds.cern.ch/record/1339539 |
work_keys_str_mv | AT tsallisconstantino introductiontononextensivestatisticalmechanicsapproachingacomplexworld |