Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics (Hardcover)

Name: Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics
Author: Takahiro Nemoto

A method to control the rare events in non-equilibrium systems

von Takahiro Nemoto Verlag: Springer Singapore

1st ed. 2016 - Erschienen 17.11.2015 - Gebunden, 144 Seiten, 241mm x 160mm x 14mm, Sprache(n): eng

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Nominated as an outstanding contribution by Kyoto University's Physics Department in 2015Proposes a general rare-event sampling method that can be applied to non-equilibrium systems without relying on numerical techniques such as copying rare eventsIncludes pedagogical explanations of why equilibrium statistical mechanics can connect large deviation statistics with thermodynamic functionsProvides an analytical expression of common scaling functions between quantum phase transitions and dynamical phase transitions in a kinetically constrained modelIncludes supplementary material: sn.pub/extras

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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9812878106

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