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

Author:   Takahiro Nemoto
Publisher:   Springer Verlag, Singapore
Edition:   Softcover reprint of the original 1st ed. 2016
ISBN:  

9789811013188


Pages:   127
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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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


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Overview

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.

Full Product Details

Author:   Takahiro Nemoto
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   Softcover reprint of the original 1st ed. 2016
Weight:   2.554kg
ISBN:  

9789811013188


ISBN 10:   9811013187
Pages:   127
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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