Phys. Rev. Lett. 91, 120601 (2003) [3 pages]Validity of the Second Law in Nonextensive Quantum ThermodynamicsReceived 3 April 2003; published 17 September 2003 The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius’ inequality is shown to hold in the range q∈(0, 2]. This restriction on the range of the entropic index, q, is purely quantum mechanical and there exists no upper bound of q for validity of the second law in classical theory. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.120601
DOI:
10.1103/PhysRevLett.91.120601
PACS:
05.70.–a, 05.30.–d, 05.90.+m
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.