Thermodynamic laws in isolated systems
Name
PhysRevE.90.062116.pdf
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650.29 KB
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Adobe PDF
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Author(s)
Hilbert, Stefan
Hanggi, Peter
Dunkel, Joern
Date Issued
December 2014
Journal
Physical Review E
Publisher
American Physical Society
Citation
Hilbert, Stefan, Peter Hanggi, and Joern Dunkel. “Thermodynamic Laws in Isolated Systems.” Physical Review E 90.6 (2014): 062116-1-23. © 2014 American Physical Society
Version
Final published version
Abstract
The recent experimental realization of exotic matter states in isolated quantum systems and the ensuing controversy about the existence of negative absolute temperatures demand a careful analysis of the conceptual foundations underlying microcanonical thermostatistics. Here we provide a detailed comparison of the most commonly considered microcanonical entropy definitions, focusing specifically on whether they satisfy or violate the zeroth, first, and second laws of thermodynamics. Our analysis shows that, for a broad class of systems that includes all standard classical Hamiltonian systems, only the Gibbs volume entropy fulfills all three laws simultaneously. To avoid ambiguities, the discussion is restricted to exact results and analytically tractable examples.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.90.062116
