Thermodynamics of information processing in small systems by Takahiro Sagawa

Format:

Book

Thesis/Dissertation

Author/Creator:

Sagawa, Takahiro

Series:

Springer theses

Springer theses 2190-5053

Language:

English

Subjects (All):

Thermodynamics.

Information theory in physics.

thermodynamics.

Genre:

theses

dissertations

Academic theses

Physical Description:

1 online resource

Place of Publication:

Tokyo New York Springer ©2013

Language Note:

English

Summary:

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

Contents:

Review of Maxwell's Demon Classical Dynamics, Measurement, and Information Quantum Dynamics, Measurement, and Information Unitary Proof of the Second Law of Thermodynamics Second Law with Feedback Control Thermodynamics of Memories Stochastic Thermodynamics Nonequilibrium Equalities with Feedback Control Conclusions

Notes:

Ph. D. University of Tokyo

Includes bibliographical references

Other Format:

Printed edition:

ISBN:

9784431541684

4431541683

4431541675

9784431541677

1283633035

9781283633031

9786613945488

661394548X

OCLC:

811139854

Access Restriction:

Restricted for use by site license