Information-Theoretic Bound on the Entropy Production to Maintain a Classical Nonequilibrium Distribution Using Ancillary Control
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entropy-19-00333.pdf
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1.54 MB
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Author(s) •
Horowitz, Jordan M.
England, Jeremy L.
Date Issued
July 2017
Journal
Entropy
Publisher
MDPI AG
Citation
Jordan M. Horowitz and Jeremey L. England. “Information-Theoretic Bound on the Entropy Production to Maintain a Classical Nonequilibrium Distribution Using Ancillary Control.” Entropy 19, 12 (July 2017): 333 © 2017 The Author(s)
Version
Final published version
Abstract
There are many functional contexts where it is desirable to maintain a mesoscopic system in a nonequilibrium state. However, such control requires an inherent energy dissipation. In this article, we unify and extend a number of works on the minimum energetic cost to maintain a mesoscopic system in a prescribed nonequilibrium distribution using ancillary control. For a variety of control mechanisms, we find that the minimum amount of energy dissipation necessary can be cast as an information-theoretic measure of distinguishability between the target nonequilibrium state and the underlying equilibrium distribution. This work offers quantitative insight into the intuitive idea that more energy is needed to maintain a system farther from equilibrium. Keywords: nonequilibrium thermodynamics; dissipation; relative entropy
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Attribution 4.0 International (CC BY 4.0)
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DOI of Published Version
https://doi.org/10.3390/e19070333