Springer Theses

Thermodynamics of Information Processing in Small Systems

Authors: Sagawa, Takahiro

  • Fundamental energy costs for information processing applications have been determined for the first time, after long and intense controversy among researchers, by unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics
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  • Universal nonequilibrium relations have been generalized by bringing together information for the first time to establish fundamental principles of nonequilibrium information processing
  • Nominated as an outstanding Ph.D thesis by the University of Tokyo's Physics Department as their best thesis in 2011
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About this book

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.

About the authors

Dr. Takahiro Sagawa
Kyoto University
Kitashirakawa Oiwake-Cho,
Sakyo-Ku, Kyoto
606-8502 Japan

Table of contents (10 chapters)

  • Introduction

    Sagawa, Takahiro

    Pages 1-7

  • Review of Maxwell’s Demon

    Sagawa, Takahiro

    Pages 9-16

  • Classical Dynamics, Measurement, and Information

    Sagawa, Takahiro

    Pages 17-23

  • Quantum Dynamics, Measurement, and Information

    Sagawa, Takahiro

    Pages 25-42

  • Unitary Proof of the Second Law of Thermodynamics

    Sagawa, Takahiro

    Pages 43-52

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54168-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54167-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-4-431-54752-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Thermodynamics of Information Processing in Small Systems
Authors
Series Title
Springer Theses
Copyright
2013
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54168-4
DOI
10.1007/978-4-431-54168-4
Hardcover ISBN
978-4-431-54167-7
Softcover ISBN
978-4-431-54752-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XVI, 120
Topics