Continuous-Time Random Walk Approach to On-Off Diffusion
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概要
- 論文の詳細を見る
Statistical properties and scale invariances of on-off diffusion, which is an anomalous transport phenomenon caused by on-off intermittency, are studied on the basis of the continuous-time random walk (CTRW) approach. The anomalous production of heat is also analyzed. Scaling functions of the time evolution of the mean square displacement and the probability density function (PDF) of the position are analytically derived. It is found that there is a characteristic time separating two regimes of time intervals with different scaling laws for the PDF. In the interval that exists at times much smaller than the characteristic time, anomalous sub diffusion appears, which is followed by normal diffusion. In the earlier time interval, aside from the neighborhood of the origin, the PDF takes the form of a power law multiplied by a stretched exponential function, whereas in the later time interal, the PDF becomes a Gaussian. The results are compared with these model simulations. Good agreement between the theory and the simulation is obtained.
- 理論物理学刊行会の論文
- 2001-12-25
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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Harada Tomohiro
Department of Cardiovascular Medicine, University of Tokyo
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Harada Tomohiro
Department Of Cardiovascular Medicine Graduate School Of Medicine University Of Tokyo
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Miyazaki Syuji
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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Budiyono Agung
Department Of Applied Physics Osaka City University
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Budiyono Agung
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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原田 融
Sapporo Gakuin Univ. Ebetsu Jpn
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Miyazaki Syuji
Kyoto University
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Harada Tomohiro
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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BUDIYONO Agung
Department of Applied Physics, Osaka City University
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Budiyano Agung
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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HARADA Toru
Department of Social Information, Sapporo Gakuin University:Institute of Socio-Information and Communication Studies (ISICS) University of Tokyo
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