Extended Self-Similarity in Modulational Intermittency Based on the Continuous-Time Random Walk Approach(Condensed Matter snd Statistical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
Anomalous diffusion caused by modulational intermittency, which is also known as on-off intermittency, is studied on the basis of the continuous-time random walk (CTRW) approach. There exists a characteristic time scale τ. For the time region t ≪ τ, anomalous subdiffusion is observed, which is followed by normal diffusion for t ≫ τ. Higher-order moments are analytically obtained by use of the saddle-point method, and it is found that they obey scaling relations that are reminiscent of extended self-similarity (ESS) and generalized extended self-similarity (GESS) found in turbulent systems. The results are compared with those obtained using the numerical inverse Laplace transform and from model simulations employing a coupled chaotic map. Good agreement between these results is obtained even for lower-order moments.
- 理論物理学刊行会の論文
- 2002-12-25
著者
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MIYAZAKI Syuji
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto
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ITO KEI
Department of Gastroenterology, Sendai City Medical Center
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Miyazaki Syuji
Kyoto Univ. Kyoto Jpn
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Miyazaki S
Kyoto Univ. Kyoto Jpn
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Miyazaki S
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Miyazaki Syuji
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Ito K
Kyoto Univ. Kyoto Jpn
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Miyazaki Syuji
Kyoto University
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Ito Kei
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Ito Kei
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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MIYAZAKI Syuji
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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Ito Kei
Departemetnt of Gastroenterology, Sendai City Medical Center, Japan
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