Advertisement

Foundations of Physics

, Volume 41, Issue 2, pp 261–269 | Cite as

Exorcising Maxwell’s Demon from Liboff’s Three-Channel Conundrum

  • Tomáš Opatrný
  • Zuzana Mišáková
Article
  • 84 Downloads

Abstract

We study a model proposed by Liboff (Found. Phys. Lett. 10:89, 1997) to violate the second law of thermodynamics. Discs are moving without friction in three connected channels inclined by π/3 with respect to each other. Based on the geometry considerations, it was argued that eventually all the discs end up in the middle channel regardless of their initial positions. This would mean a decrease of the entropy of the system and violation of the second law. We argue that no such anomalous behavior occurs in the system.

Keywords

Maxwell’s demon Second law of thermodynamics Perpetual motion of the second kind Phase space Ergodic system 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics. Addison-Wesley, Reading (1965) MATHGoogle Scholar
  2. 2.
    Szilard, L.: Über die Entropieverminderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen. Z. Phys. 53, 840–856 (1929) CrossRefADSGoogle Scholar
  3. 3.
    Bennett, C.H.: Demons, engines, and the 2nd law. Sci. Am. 257, 108–116 (1987) CrossRefADSGoogle Scholar
  4. 4.
    Landauer, R.: Irreversibility and heat generation in the computing process. IBM J. Res. Dev. 5, 183–191 (1961) MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Leff, H.S., Rex, A.F.: Resource letter MD-1: Maxwell’s demon. Am. J. Phys. 58, 201–209 (1990) CrossRefADSGoogle Scholar
  6. 6.
    Maruyama, K., Nori, F., Vedral, V.: Colloquium: The physics of Maxwell’s demon and information. Rev. Mod. Phys. 81, 1–23 (2009) CrossRefMathSciNetADSMATHGoogle Scholar
  7. 7.
    Jacobs, K.: Second law of thermodynamics and quantum feedback control: Maxwell’s demon with weak measurements. Phys. Rev. A 80, 012322 (2009) CrossRefADSGoogle Scholar
  8. 8.
    Liboff, R.L.: Maxwell’s demon and the second law of thermodynamics. Found. Phys. Lett. 10, 89–92 (1997) CrossRefMathSciNetGoogle Scholar
  9. 9.
    Čápek, V., Sheehan, D.P.: Challenges to the Second Law of Thermodynamics, Theory and Experiment. Springer, Dordrecht (2005) MATHGoogle Scholar
  10. 10.
    Sinai, Ya.G.: On the foundation of the ergodic hypothesis for a dynamical system of statistical mechanics. Dokl. Akad. Nauk SSSR 153, 1261–1264 (1963) (English version: Soviet Math. Doklady 4, 1818–1822 (1963)) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Optics Department, Faculty of SciencePalacký UniversityOlomoucCzech Republic

Personalised recommendations