Download e-book for kindle: Thermodynamics of Information Processing in Small Systems by Takahiro Sagawa

By Takahiro Sagawa

This thesis offers a basic idea of nonequilibrium thermodynamics for info processing. Ever on the grounds that Maxwell's demon used to be proposed within the 19th century, the connection among thermodynamics and knowledge has attracted a lot awareness since it matters the basis of the second one legislation of thermodynamics. From the fashionable standpoint, Maxwell's demon is formulated as a knowledge processing gadget that plays dimension and suggestions on the point of thermal fluctuations. through unifying details thought, dimension idea, and the lately built thought of nonequilibrium statistical mechanics, the writer has built a idea of "information thermodynamics," within which details contents and thermodynamic variables are taken care of on an equivalent footing. particularly, the utmost paintings that may be extracted by way of the demon and the minimal paintings that's wanted for size and knowledge erasure by means of the demon has been made up our minds. also, generalizations of nonequilibrium kinfolk similar to a Jarzynski equality for classical stochastic platforms within the presence of suggestions keep watch over were derived. one of many generalized equalities has lately been demonstrated experimentally by utilizing sub-micron colloidal debris. the consequences bought function basic ideas for info processing in small thermodynamic platforms, and are acceptable to nanomachines and nanodevices.

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Download e-book for kindle: Thermodynamics of Information Processing in Small Systems by Takahiro Sagawa

This thesis provides a basic conception of nonequilibrium thermodynamics for info processing. Ever for the reason that Maxwell's demon was once proposed within the 19th century, the connection among thermodynamics and data has attracted a lot awareness since it matters the basis of the second one legislations of thermodynamics.

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7. J. Groenewold, Int. J. Theor. Phys. 4, 327 (1971) 8. M. Ozawa, J. Math. Phys. 27, 759 (1986) 9. F. Buscemi, M. Hayashi, M. Horodecki, Phys. Rev. Lett. 100, 210504 (2008) 10. T. Sagawa, M. Ueda, Phys. Rev. Lett. 100, 080403 (2008) 11. T. Sagawa, Prog. Theor. Phys. 127, 1 (2012) 12. T. 0983. Chapter 5 Unitary Proof of the Second Law of Thermodynamics Abstract In this chapter, we review how to derive the second law of thermodynamics for systems that obey quantum mechanics at the microscopic level.

Shimizu, Principles of Thermodynamics (Univ, Tokyo Press, 2007). (in Japanese) M. Campisi, P. Talkner, P. Hänggi, Phys. Rev. Lett. 102, 210401 (2009) Chapter 6 Second Law with Feedback Control Abstract In this chapter, we derive a generalized second law with a quantum measurement and quantum feedback control [1, 2], which is the first main part of this thesis. Thermodynamics of feedback control has been studied for a long time in terms of Maxwell’s demon [3–7]. In fact, the demon can be formulated as a feedback controller acting on thermodynamic systems.

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