Application of Tsallis Nonextensive Statistics to the Anomalous Diffusion of the Standard Map(Condensed Matter and Statistical Physics)
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概要
- 論文の詳細を見る
The anomalous diffusion due to accelerator-mode islands in the Standard Map is analyzed with the aid of Tsallis nonextensive statistics. In this treatment, we introduce a new variable x, which represents the displacement per jump while the chaotic orbit is trapped by the accelerator-mode islands. We have shown numerically that the one-jump distribution function p(x) is qualitatively similar to the function p_q(x) derived using the maximum Tsallis entropy principle with appropriate conditions. [C. Tsallis, J. Stat. Phys. 52 (1988), 479; Phys. Lett. A 195 (1994), 329.] We find that the n-jump distribution function p(x, n) converges to the n-jump distribution function p_q(x, n)=1/n^<1/γ>p_q(x/n^<1/γ>) obtained from the Levy-Gnedenko central-limit theorem in the n→∞ limit.
- 理論物理学刊行会の論文
- 2005-11-25
著者
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ISHIZAKI Ryuji
Faculty of Integrated Human Studies and Social Sciences, Fukuoka Prefectural University
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Ishizaki Ryuji
Faculty Of Integrated Human Studies And Social Sciences Fukuoka Prefectural University
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Inoue Masayoshi
Department Of General Thoracic Surgery (l5) Osaka University Graduate School Of Medicine
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Inoue Masayoshi
Department Of Agriculture Kyoto Prefectural University
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