Abstract
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 , Clausius’ inequality is shown to hold in the range . This restriction on the range of the entropic index, , is purely quantum mechanical and there exists no upper bound of for validity of the second law in classical theory.
- Received 3 April 2003
DOI:https://doi.org/10.1103/PhysRevLett.91.120601
©2003 American Physical Society