Mathematical foundations of nonextensive statistical mechanics

Mathematical foundations of nonextensive statistical mechanics

by Umarov, Sabir

Type Book
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"The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-expo…

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Title Statements

  • Full title :Mathematical foundations of nonextensive statistical mechanics / Sabir Umarov (University of New Haven, USA), Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Brazil).

Summary

"The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-exponential function, q-Gaussian distribution, q-Fourier transform, q-central limit theorems, and other related objects are discussed rigorously with detailed mathematical rational. The book also contains recent results obtained in this direction and challenging open problems. Each chapter is accompanied with additional useful notes including the history of development and related bibliographies for further reading"

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Edition Statements

  • Publication Date:2022

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:New Jersey
  • Language:eng
  • Publication Date:2022

Notes

Includes bibliographical references and index.

The Physical Object

  • Description:xvii, 318 Seiten : Illustrationen

Edition Identifiers

  • ISBN:9789811245152, 9811245150
  • oclc:on1314048840
  • LC Classification:QC174.8
  • Dewey Decimal:530.13

Subjects

Statistical mechanics -- Mathematical m…

Writers

Umarov, Sabir Tsallis, Constantino

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