Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics A method to control the rare events in non-equilibrium systems /

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 equilibriu...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Nemoto, Takahiro (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2016.
Σειρά:Springer Theses, Recognizing Outstanding Ph.D. Research,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Nemoto, Takahiro.  |e author. 
245 1 0 |a Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics  |h [electronic resource] :  |b A method to control the rare events in non-equilibrium systems /  |c by Takahiro Nemoto. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2016. 
300 |a XIII, 127 p. 35 illus., 7 illus. in color.  |b online resource. 
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490 1 |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5053 
505 0 |a 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. 
520 |a 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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650 0 |a System theory. 
650 0 |a Mathematical physics. 
650 0 |a Thermodynamics. 
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650 2 4 |a Complex Systems. 
650 2 4 |a Thermodynamics. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Statistical Physics and Dynamical Systems. 
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830 0 |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5053 
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950 |a Physics and Astronomy (Springer-11651)