Abe Sumiyoshi, Rajagopal A K
Institute of Physics, University of Tsukuba, Ibaraki 305-8571, Japan.
Phys Rev Lett. 2003 Sep 19;91(12):120601. doi: 10.1103/PhysRevLett.91.120601. Epub 2003 Sep 17.
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 in (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.
在量子领域讨论了非广延统计力学中的热力学第二定律。利用与由q索引的Tsallis熵相关的广义相对熵的凸性，证明了克劳修斯不等式在q∈(0, 2]范围内成立。对熵指数q范围的这种限制纯粹是量子力学的，并且在经典理论中第二定律成立时q没有上限。
