Validity of the second law in nonextensive quantum thermodynamics

被引:66
|
作者
Abe, S [1 ]
Rajagopal, AK
机构
[1] Univ Tsukuba, Inst Phys, Tsukuba 3058571, Japan
[2] USN, Res Lab, Washington, DC 20375 USA
关键词
D O I
10.1103/PhysRevLett.91.120601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 qis an element of(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.
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页数:3
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