Non-Stationary Anomalous Diffusion Produced by a Generalized Shift Map (General)
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概要
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We study random walks of a decimal point of a two-sided infinite sequence (...a^<(-2)>_ta^<(-1)>_t.a^<(0)>_ta^<(1)>_t...) where the point is driven by a generalized shift (GS) map, and find the super-diffusion whose distribution does not obey a Levy distribution. The diffusion depends on the rule of GS map, and we calculate the mean square displacement σ^2 (n) ∝ n^ζ for diffusive dynamics rules and a fluctuated drift rule where a parameter P is introduced which represents the probability of a^<(i+1)>_0 whose value is the same with a^<(i)>_0. We find that ζ depends on P for the diffusive rules, whereas ζ is independent of P for the fluctuated drift rule.
- 2004-04-15
著者
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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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