1.

Record Nr.

UNINA9910438118403321

Autore

Sagawa Takahiro

Titolo

Thermodynamics of Information Processing in Small Systems [[electronic resource] /] / by Takahiro Sagawa

Pubbl/distr/stampa

Tokyo : , : Springer Japan : , : Imprint : Springer, , 2013

ISBN

1-283-63303-5

9786613945488

4-431-54168-3

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (125 p.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

621.402

621.4021

Soggetti

Thermodynamics

Quantum computers

Spintronics

Statistical physics

Dynamical systems

Physics

Nanoscale science

Nanoscience

Nanostructures

Quantum Information Technology, Spintronics

Complex Systems

Mathematical Methods in Physics

Nanoscale Science and Technology

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.