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Published March 2004 | Published
Journal Article Open

The adiabatic piston: a perpetuum mobile in the mesoscopic realm

Abstract

A detailed analysis of the adiabatic-piston problem reveals, for a finely-tuned choice of the spatial dimensions of the system, peculiar dynamical features that challenge the statement that an isolated system necessarily reaches a time-independent equilibrium state. In particular, the piston behaves like a perpetuum mobile, i.e., it never comes to a stop but keeps wandering, undergoing sizeable oscillations around the position corresponding to maximum entropy; this has remarkable implications on the entropy changes of a mesoscopic isolated system and on the limits of validity of the second law of thermodynamics in the mesoscopic realm.

Additional Information

© 2004 by MDPI (http://www.mdpi.org). This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Received: 23 September 2003 / Accepted: 15 December 2003 / Published: 11 March 2004. (This article belongs to the Special Issue Quantum Limits to the Second Law of Thermodynamics) We wish to thank Noel Corngold for many fruitful discussions.

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