Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence
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- Fujisaka Hirokazu FUJISAKA Hirokazu
- Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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- Honkawa Tomoaki HONKAWA Tomoaki
- Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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- Yamada Tomoji YAMADA Tomoji
- Division of Electronic Physics, Faculty of Engineering, Kyushu Institute of Technology
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Author(s)
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- Fujisaka Hirokazu FUJISAKA Hirokazu
- Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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- Honkawa Tomoaki HONKAWA Tomoaki
- Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University
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- Yamada Tomoji YAMADA Tomoji
- Division of Electronic Physics, Faculty of Engineering, Kyushu Institute of Technology
Abstract
The scaling structure of higher-dimensional Nikolaevskii turbulence described by φ(γ, t) = -∇^2 [{ε - (∇^2 + κ^2_0)^2}φ] + (∇φ)^2 is investigated for small ε (> 0). This is done by extending the Matthews-Cox scaling in a one-dimenional system to higher dimensions. By deriving the amplitude equation for small ε in higher dimensions and carrying out the numerical integration of their amplitude equations for a two-dimensional system, it is shown that the same scaling structure found in the one-dimensional case exists also in two dimensions.
Journal
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- Progress of Theoretical Physics
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Progress of Theoretical Physics 109(6), 911-918, 2003-06-25
Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan
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