Work relations with measurement and feedback control on nonuniform temperature systems

Abstract

The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has attracted much attention, because it resolved the paradox concerning Maxwell's demon. Most studies, however, assume that their target systems are isolated or isothermal. In this paper, by considering a nonisothermal system, we generalize the Sagawa-Ueda-Jarzynski relation, which involves measurement and feedback control, and apply it to a realistic model. Furthermore, when the temperature profile is quadratic, we see that the system is governed by Tsallis statistical mechanics. In addition, we show that our formulation provides the generalized version of the second law of information thermodynamics and a set of work relations for isothermal systems.

arXiv comment7 pages, 1 figure, published in PRE

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Cited by in corpus (5)

• Thermodynamics of Quantum Information Flows
• Many-body perturbation theory and fluctuation relations for interacting population dynamics
• Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling
• Steady-state thermodynamics for population dynamics in fluctuating environments with side information
• Information geometric bound on general chemical reaction networks