Pathological Anomalous Diffusion Generated by a Generalized Shift Map
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概要
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The dynamics of a decimal point of two-sided infinite sequences (...a^<(-2)>_ta^<(-1)>_t.a^<(0)>_ta^<(1)>_t...) is studied, where the motion of the point is governed by a generalized shift (GS) map. Diffusive motion and fluctuated drift motion are observed which depend on the rule of GS. We introduce a parameter P which is the probability of a^<(i+1)>_0 whose value is the same with a^<(i)>_0 . We calculate the mean square displacement σ^2(n) αn^ζ for a fluctuated drift rule, and find that super-diffusive (ζ ≃ 1.96)and sub-diffusive (ζ ≃ 0.93) for P = 0.5. Pathological anomalous diffusion (ζ>2) is observed if P approaches to 1.
- 2002-03-15
著者
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SHIRAISHI Hiroyuki
Department of Mechanical Engineering, Daido Institute of Technology
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Ishizaki R
Fukuoka Prefectural Univ. Fukuoka
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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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Shiraishi H
Daido Inst. Technol. Nagoya Jpn
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KANIE Masato
Department of Physics, Kagoshima University
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Kanie Masato
Department Of Physics Kagoshima University
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Shiraishi Hiroyuki
Department Of Mechanical Engineering Daido Institute Of Technology
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Inoue Masayoshi
Department Of Agriculture Kyoto Prefectural University
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SHIRAISHI Hiroyuki
Department of Electrical and Computer Engineering, Nagoya Institute of Technology:Compound Semiconductor Center, Mitsubishi Metal Corporation
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Shiraishi Hiroyuki
Department of Chemical Engineering, Osaka University
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