Springer Theses

Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics

A method to control the rare events in non-equilibrium systems

Authors: Nemoto, Takahiro

  • Nominated as an outstanding contribution by Kyoto University's Physics Department in 2015
  • Proposes a general rare-event sampling method that can be applied to non-equilibrium systems without relying on numerical techniques such as copying rare events 
  • Includes pedagogical explanations of why equilibrium statistical mechanics can connect large deviation statistics with thermodynamic functions 
  • Provides an analytical expression of common scaling functions between quantum phase transitions and dynamical phase transitions in a kinetically constrained model
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書籍の購入

イーブック 83,29 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-287-811-3
  • 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 99,99 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-287-810-6
  • 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 99,99 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-10-1318-8
  • 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。
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この書籍について

This thesis describes a method to control rare events in non-equilibrium systems by applying physical forces to those systems but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring to this specific structure as the “phenomenological structure for the large deviation principle”, the author subsequently extends it to time-series statistics that can be used to describe non-equilibrium physics.

The book features pedagogical explanations and also shows many open problems to which the proposed method can be applied only to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics.

著者について

Table of contents (5 chapters)

  • Phenomenological Structure for the Large Deviation Principle

    Nemoto, Takahiro

    Pages 1-16

    Preview Buy Chapter 26,95 €
  • Iterative Measurement-Feedback Procedure for Large Deviation Statistics

    Nemoto, Takahiro

    Pages 17-39

    Preview Buy Chapter 26,95 €
  • Common Scaling Functions in Dynamical and Quantum Phase Transitions

    Nemoto, Takahiro

    Pages 41-76

    Preview Buy Chapter 26,95 €
  • van Zon–Cohen Singularity and a Negative Inverse Temperature

    Nemoto, Takahiro

    Pages 77-98

    Preview Buy Chapter 26,95 €
  • Conclusions and Future Perspectives

    Nemoto, Takahiro

    Pages 99-101

    Preview Buy Chapter 26,95 €

書籍の購入

イーブック 83,29 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-287-811-3
  • 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 99,99 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-287-810-6
  • 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 99,99 €
価格の適用国: Japan (小計)
有効期限: November 5, 2017
  • ISBN 978-981-10-1318-8
  • 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
Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics
Book Subtitle
A method to control the rare events in non-equilibrium systems
Authors
Series Title
Springer Theses
Copyright
2016
Publisher
Springer Singapore
Copyright Holder
Springer Science+Business Media Singapore
イーブック ISBN
978-981-287-811-3
DOI
10.1007/978-981-287-811-3
ハードカバー ISBN
978-981-287-810-6
ソフトカバー ISBN
978-981-10-1318-8
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIII, 127
Number of Illustrations and Tables
28 b/w illustrations, 7 illustrations in colour
Topics