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

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  • 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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eBook $84.99
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  • ISBN 978-981-287-811-3
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Hardcover $139.99
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Softcover $109.99
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About this book

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.

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Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-981-287-811-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover $139.99
price for USA in USD
Softcover $109.99
price for USA in USD
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Bibliographic Information

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
eBook ISBN
978-981-287-811-3
DOI
10.1007/978-981-287-811-3
Hardcover ISBN
978-981-287-810-6
Softcover ISBN
978-981-10-1318-8
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIII, 127
Number of Illustrations
28 b/w illustrations, 7 illustrations in colour
Topics