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

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

  • Takahiro Nemoto

Part of the Springer Theses book series (Springer Theses)

Table of contents

About this book

Introduction

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.

Keywords

Asymmetric-Simple-Exclusion-Process Fluctuation theorem Kinetically constrained model Large deviation functions Rare-event samplings Thermodynamic formalism

Authors and affiliations

  • Takahiro Nemoto
    • 1
  1. 1.Department of physicsKyoto UniversityKyoto Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-287-811-3
  • Copyright Information Springer Science+Business Media Singapore 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-287-810-6
  • Online ISBN 978-981-287-811-3
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book
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