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Maxwell’s demon and the management of ignorance in stochastic thermodynamics

Ford, IJ; (2016) Maxwell’s demon and the management of ignorance in stochastic thermodynamics. Contemporary Physics , 57 (3) pp. 309-330. 10.1080/00107514.2015.1121604. Green open access

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Abstract

© 2016 Taylor & Francis It is nearly 150 years since Maxwell challenged the validity of the second law of thermodynamics by imagining a tiny creature who could sort the molecules of a gas in such a way that would decrease entropy without exerting any work. The demon has been discussed largely using thought experiments, but it has recently become possible to exert control over nanoscale systems, just as Maxwell imagined, and the status of the second law has become a more practical matter, raising the issue of how measurements manage our ignorance in a way that can be exploited. The framework of stochastic thermodynamics extends macroscopic concepts such as heat, work, entropy and irreversibility to small systems and allows us explore the matter. Some arguments against a successful demon imply a second law that can be suspended indefinitely until we dissipate energy in order to remove the records of his operations. In contrast, under stochastic thermodynamics, the demon fails because on average, more work is performed upfront in making a measurement than can be extracted by exploiting the outcome. This requires us to exclude systems and a demon that evolve under what might be termed self-sorting dynamics, and we reflect on the constraints on control that this implies while still working within a thermodynamic framework.

Type: Article
Title: Maxwell’s demon and the management of ignorance in stochastic thermodynamics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1080/00107514.2015.1121604
Publisher version: http://dx.doi.org/10.1080/00107514.2015.1121604
Language: English
Additional information: This is an Accepted Manuscript of an article published by Taylor & Francis in Contemporary Physics on 20/01/16, available online: http://wwww.tandfonline.com/10.1080/00107514.2015.1121604.
Keywords: Second law of thermodynamics, entropy production, irreversibility, measurement
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/1474445
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