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Szilard's Perpetuum Mobile

Published online by Cambridge University Press:  01 January 2022

Abstract

In a previous article, we have demonstrated by a general phase space argument that a Maxwellian Demon is compatible with statistical mechanics. In this article, we show how this idea can be put to work in the prevalent model of the Demon, namely, a particle-in-a-box, used, for example, by Szilard and Bennett. In the literature, this model is used in order to show that a Demon is incompatible with statistical mechanics, either classical or quantum. However, we show that a detailed phase space analysis of this model illustrates that a Maxwellian Demon is compatible with statistical mechanics.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

This research is supported by the Israel Science Foundation, grant 240/06.

References

Albert, David. 2000. Time and Chance. Cambridge, MA: Harvard University Press.Google Scholar
Bennett, Charles. 1982. “The Thermodynamics of Computation: A Review.” In Leff and Rex 2003, 283318.Google Scholar
Callender, Craig. 1999. “Reducing Thermodynamics to Statistical Mechanics: The Case of Entropy.” Journal of Philosophy 96 (7): 348–73.Google Scholar
Earman, John, and Norton, John D.. 1998. “Exocist XIV: The Wrath of Maxwell's Demon.” Pt. 1, “From Maxwell to Szilard.” Studies in History and Philosophy of Modern Physics 29:435–71.CrossRefGoogle Scholar
Earman, John, and Norton, John D.. 1999. “Exocist XIV: The Wrath of Maxwell's Demon.” Pt. 2, “From Szilard to Landauer and Beyond.” Studies in History and Philosophy of Modern Physics 30:140.CrossRefGoogle Scholar
Ehrenfest, Paul, and Ehrenfest, Tatiana. 1912/1990. The Conceptual Foundations of the Statistical Approach in Mechanics. New York: Dover.Google Scholar
Frigg, Roman. 2008. “A Field Guide to Recent Work on the Foundations of Statistical Mechanics.” In The Ashgate Companion to Contemporary Philosophy of Physics, ed. Rickles, Dean, 99106. London: Ashgate.Google Scholar
Hemmo, Meir, and Shenker, Orly. 2011. “Maxwell's Demon.” Journal of Philosophy, forthcoming.Google Scholar
Leff, Harvey, and Rex, Andrew. 2003. Maxwell's Demon 2: Entropy, Classical and Quantum Information, Computing. London: Institute of Physics.Google Scholar
Sklar, Lawrence. 1993. Physics and Chance. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Szilard, Leo. 1929. “On the Decrease of Entropy of a Thermodynamic System by the Intervention of an Intelligent Being.” In Leff and Rex 2003, 110–19.Google Scholar
Uffink, Jos. 2007. “Compendium to the Foundations of Classical Statistical Physics.” In Handbook for the Philosophy of Physics, pt. B, ed. Jeremy Butterfield and John Earman, 923–1074. Amsterdam: Elsevier.Google Scholar