Derivation of Phase Dynamics in Non-Locally Distributed Systems with Periodic Structures in Either Space or Time(Condensed Matter and Statistical Physics)
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概要
- 論文の詳細を見る
In the present paper, we derive phase equations for dynamical equations describing spatio-temporal dynamics in non-locally distributed systems. In the case of the spatial modulation of a periodic pattern, the phase equation is derived by earring out a suitable spatial average. The resulting equation has a structure with a generalized form that includes the Cahn-Hilliard equation. We also find that the phase equation for an oscillatory medium has the structure of a generalized form of the Kuramoto-Sivashinsky equation, implying the possibility of a Benjamin-Feir-type instability.
- 理論物理学刊行会の論文
- 2006-10-25
著者
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Ouchi Katsuya
Kobe Design University
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FUJISAKA Hirokazu
Department of Physics,Kyushu University
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TSUKAMOTO Naofumi
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Fujisaka Hirokazu
Department Of Physics Kyushu University
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Fujisaka Hirokazu
Kyushu University
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Kyoto University
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Tsukamoto Naofumi
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Ouchi Katsuya
Kobe Design Univ. Kobe Jpn
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TSUKAMOTO Naofumi
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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FUJISAKA Hirokazu
Department of Applied Analysis and Complex Dynamical Systems, Kyoto University
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