Date: September 2000
Creator: Grigolini, Paolo; Pala, Marco G.; Palatella, Luigi & Roncaglia, Roberto
Description: In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. Recently Latora and Baranger [Phys. Rev. Lett. 82, 520 (1999)] found that there exist three entropy regimes, a transient regime of passage from dynamics to thermodynamics, a linear-in-time regime of entropy increase, that is, a thermodynamic regime of Kolmogorov kind, and a saturation regime. The authors use the nonextensive entropic indicator advocated by Tsallis [J. Stat. Phys. 52, 479 (1988)] with a mobile entropic index q, and the authors find that the adoption of the "magic" value q = Q = 1/2, compared to the traditional entropic index q = 1, reduces the length of the transient regime and makes earlier the emergence of the Kolmogorov regime. The authors adopt a two-site model to explain these properties by means of an analytical treatment and the authors argue that Q = 1/2 might be a typical signature of the occurrence of Anderson localization.
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