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Springer Theses

Statistical Mechanics for Athermal Fluctuation

Non-Gaussian Noise in Physics

Authors: Kanazawa, Kiyoshi

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  • Nominated as an outstanding PhD thesis by Kyoto University’s Physics Department in 2015
  • Shows a stochastic theory to quantitatively describe non-Gaussian athermal fluctuation from microscopic dynamics as a concise and self-contained form
  • Presents the theory based on a systematic expansion for the master equation
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イーブック ¥12,354
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-10-6332-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
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ハードカバー ¥16,847
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-10-6330-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥15,443
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-13-4857-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この書籍について

The author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies.

First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the a

uthor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, i.e. heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods.

著者について

Kiyoshi Kanazawa has been an assistant professor at Tokyo Institute of Technology since April 2016. He received his bachelor’s degree in physics from the University of Tokyo in March 2010 and completed his master’s degree at the Yukawa Institute for Theoretical Physics at Kyoto University in April 2012. He received his doctorate from Kyoto University in March 2015 for his study on statistical mechanics and stochastic thermodynamics for athermal fluctuation from the viewpoint of non-Gaussian stochastic processes. He is currently investigating the microstructure of various non-physical systems, such as financial-market and biological fluctuation, using data analyses and theory. He is focusing his considerable efforts on developing kinetic theory for non-physical, many-body systems in order to understand various macroscopic phenomena in microscopic dynamics. He received the “Young Scientist Award of the Physical Society of Japan” from the Physical Society of Japan in March

2016.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Introduction to Physics of Fluctuation

    Pages 1-8

    Kanazawa, Kiyoshi

  • Markovian Stochastic Processes

    Pages 11-26

    Kanazawa, Kiyoshi

  • Kinetic Theory for Dilute Gas

    Pages 27-39

    Kanazawa, Kiyoshi

  • Langevin Equation and Its Microscopic Derivation

    Pages 41-54

    Kanazawa, Kiyoshi

  • Stochastic Calculus for the Single-Trajectory Analysis

    Pages 55-71

    Kanazawa, Kiyoshi

書籍の購入

イーブック ¥12,354
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-10-6332-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥16,847
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-10-6330-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥15,443
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-981-13-4857-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Statistical Mechanics for Athermal Fluctuation
Book Subtitle
Non-Gaussian Noise in Physics
Authors
Series Title
Springer Theses
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
イーブック ISBN
978-981-10-6332-9
DOI
10.1007/978-981-10-6332-9
ハードカバー ISBN
978-981-10-6330-5
ソフトカバー ISBN
978-981-13-4857-0
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XVI, 222
Number of Illustrations
7 b/w illustrations, 46 illustrations in colour
Topics