"Thermodynamics", Temporal Correlations and Scaling Laws : Complex Dynamics in Nonlinear Systems
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概要
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A new statistical-physical approach to steady bivariate temporal fluctuations is proposed. Their longtime characteristic is shown to be described in the frame analogous to the equilibrium statistical-thermodynamics, and the temporal correlation is studied with the generalized time correlation function. We present the eigenfunction expansion and the continuedfraction expansion for evaluating relevant functions. The former enables us to handle the problem from the first principle, and the latter is useful, specially, in analyzing the data experimentally observed. Employing a simple stochastic model near a certain transition point, we will discuss the static and dynamic scaling laws of relevant functions characteristic of the present approach.
- 理論物理学刊行会の論文
- 1990-03-28
著者
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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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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Fujisaka Hirokazu
Department of Physics, Kyushu University
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