Anomalous Diffusion Induced by Random Walks with Hierarchical Long-Range Memory(General)
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概要
- 論文の詳細を見る
A discrete-time dual random walk is presented whose random increment υ_n consists of the sum of the first stage random increments u_i as υ_n≡|Σ^<n-1>_<i=1>u_i|^γu_n. Our numerical study shows that its exponent ζ of the mean square displacement linearly depends on the parameter γ as ζ=1+γ. Critical phenomena is observed when u_i is generated by iterated maps where the critical exponent α of the diffusion coefficient also linearly depends on the parameter γ as α=α_0+cγ.
- 社団法人日本物理学会の論文
- 2005-09-15
著者
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ISHIZAKI Ryuji
Faculty of Integrated Human Studies and Social Sciences, Fukuoka Prefectural University
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Kodama Naoki
Department Of Occlusal And Oral Functional Rehabilitation Graduate School Of Medicine Dentistry And
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Kodama Naoki
Department Of Physics Kagoshima 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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Inoue Masayoshi
Department of Physics, Kagoshima University
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KODAMA Naoki
Department of Physics, Kagoshima University
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