Mathematical foundations of nonextensive statistical mechanics

著者

• Umarov, Sabir
• Tsallis, Constantino

書誌事項

Mathematical foundations of nonextensive statistical mechanics

Sabir Umarov, Constantino Tsallis

World Scientific, c2022

• : hardcover

注記

Includes bibliographical references (p. 297-315) and index

内容説明・目次

内容説明

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC12220512
• ISBN:
  • 9789811245152
• LCCN: 2021055561
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Hackensack, N.J.
• ページ数/冊数: xvii, 318 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QC174.8
  • DC23 : 530.13
• 件名:
  • LCSH : Statistical mechanics -- Mathematical models