Phenomenological structure for the large deviation principle in time-series statistics [electronic resource] : a method to control the rare events in non-equilibrium systems / Takahiro Nemoto.
Nemoto, Takahiro, author.
2016
QA280
Available Online

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Title Phenomenological structure for the large deviation principle in time-series statistics [electronic resource] : a method to control the rare events in non-equilibrium systems / Takahiro Nemoto.
Author Nemoto, Takahiro, author.
ISBN 9789812878113 (electronic book)
9812878114 (electronic book)
9789812878106
9812878106
DOI https://doi.org/10.1007/978-981-287-811-3
Published Singapore : Springer, 2016.
Language English
Description 1 online resource.
Item Number 10.1007/978-981-287-811-3 doi
Call Number QA280
Dewey Decimal Classification 519.55
Summary 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.
Note "Doctoral thesis accepted by Kyoto University, Kyoto, Japan."
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed December 2, 2015)
Series Springer theses.
Available in Other Form Print version: 9789812878106
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Phenomenological structure for the large deviation principle
Iterative measurement-feedback procedure for large deviation statistics
Common scaling functions in dynamical and quantum phase transitions
van Zon-Cohen singularity and a negative inverse temperature
Conclusions and future perspectives.

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