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原文連結
論文資訊
- 類型：已發表論文
- 日期：2008
摘要
The Boltzmann-Gibbs-von Neumann 熵 of a large part (of linear size L) of some (much larger) d-dimensional 量子 systems follows the so-called area law (as for black holes), i.e., it is proportional to Ld-1. Here we show, for d= 1 2, that the (nonadditive) 熵 S-q satisfies, for a special value of q not equal 1, the classical 熱力學al prescription for the 熵 to be extensive, i.e., S-q alpha L-d. Therefore, we reconcile with classical 熱力學s the area law widespread in 量子 systems. Recently, a similar behavior was exhibited in 數學 models with scale-invariant. correlations [C. Tsallis, M. Gell-Mann, and Y. Sato, Proc. Natl. Acad. Sci. U.S.A. 102 15377 (2005)]. Finally, we find that the system critical features are marked by a maximum of the special entropic index q.
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