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Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics: A method to control the rare events in non-equilibrium systems (Springer Theses)

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en Limba Engleză Carte Hardback – 17 Nov 2015
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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Specificații

ISBN-13: 9789812878106
ISBN-10: 9812878106
Pagini: 125
Ilustrații: Bibliographie
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.42 kg
Ediția: 1st ed. 2016
Editura: Springer
Colecția Springer
Seria Springer Theses

Locul publicării: Singapore, Singapore

Public țintă

Research

Cuprins

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.

Notă biografică




Textul de pe ultima copertă

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.

Caracteristici

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