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In the current NES, the entropic index q is mainly determined in a phenomenological way by a fitting of calculated results to experimental data, as in the self-gravitating systems. The entropic index is determined microscopically in some cases such as low-dimensional dissipative systems, anomalous Langevin equations and small-scale systems [29].
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42
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N = 1 + 2/N. It is noted that the relation of E(2N) = 2E(N) holds but S(2N) ≠ 2S(N) in non-extensive macroscopic systems (N ≫ 1), in which the non-extensivity arises, for example, from the long-range interaction [29].
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