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Phenomenological structure for the large deviation principle in time-series statistics[electronic resource] :a method to control the rare events in non-equilibrium systems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.55
書名/作者:	Phenomenological structure for the large deviation principle in time-series statistics : a method to control the rare events in non-equilibrium systems // by Takahiro Nemoto.
作者:	Nemoto, Takahiro.
出版者:	Singapore : : Springer Singapore :, 2016.
面頁冊數:	xiii, 127 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Thermodynamics.
標題:	Mathematical Physics.
標題:	Time-series analysis.
標題:	Large deviations.
標題:	Physics.
標題:	Statistical Physics, Dynamical Systems and Complexity.
ISBN:	9789812878113
ISBN:	9789812878106
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-981-287-811-3

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

Phenomenological structure for the large deviation principle in time-series statisticsa method to control the rare events in non-equilibrium systems /[electronic resource] :by Takahiro Nemoto. - Singapore :Springer Singapore :2016. - xiii, 127 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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.

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.

ISBN: 9789812878113

Standard No.: 10.1007/978-981-287-811-3doiSubjects--Topical Terms:

172172
Thermodynamics.

LC Class. No.: QA280

Dewey Class. No.: 519.55

Phenomenological structure for the large deviation principle in time-series statistics[electronic resource] :a method to control the rare events in non-equilibrium systems /
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