Thermodynamics of Information Processing in Small Systems

  • Takahiro Sagawa

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Takahiro Sagawa
    Pages 1-7
  3. Takahiro Sagawa
    Pages 9-16
  4. Takahiro Sagawa
    Pages 53-60
  5. Takahiro Sagawa
    Pages 61-73
  6. Takahiro Sagawa
    Pages 75-89
  7. Takahiro Sagawa
    Pages 115-118

About this book

Introduction

This thesis presents a general theory of nonequilibrium thermodynamics for information processing.  Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics.  From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations.  By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing.  In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by  the demon has been determined.  Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived.  One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.

Keywords

Information Thermodynamics Jarzynski Equality Landauer Principle Maxwell’s Demon Nonequilibrium Statistical Mechanics Quantum Feedback Control Quantum Information Theory Quantum Measurement Theory Second Law of Information Thermodynamics Stochastic Thermodynamics Szilard Engine

Authors and affiliations

  • Takahiro Sagawa
    • 1
  1. 1.Kyoto UniversityKyotoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-54168-4
  • Copyright Information Springer Japan 2013
  • Publisher Name Springer, Tokyo
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-4-431-54167-7
  • Online ISBN 978-4-431-54168-4
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book