Statistical Model with Localized Structures Describing the Spatio-Temporal Chaos of Kuramoto-Sivashinsky Equation
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概要
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Statistical properties of the chaos of the Kuramoto-Sivashinsky equation are in-vestigated numerically and theoretically. It is found that the chaos consists of spat-ially localized structures (pulses) and the distances between adjacent pulses have thedistribution which is localized around a single peak through fate mechanism of crea-lion and annihilation of pulses. The energy spectrum is calculated by a statisticalmodel in which the pulses with a fixed shape are lined up in the way that each distanceis independent of others. This model reproduces a peak neat' the wavenumber kI / h as well as the flat part near k = 0 in the energy spectrum. The linear dependenceof the amount of chaos on the system parameter is discussed with this model.
- 社団法人日本物理学会の論文
- 1987-03-15
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関連論文
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- Statistical Model with Localized Structures Describing the Spatio-Temporal Chaos of Kuramoto-Sivashinsky Equation
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- Transition between Weak and Strong Turbulence Observed in Complex Ginzburg-Landau Equation with a Quintic Nonlinearity
- Time Correlation between Entropy and/or Energy Distributed into Scales by 2D Wavelet in 2D Free-Convective Turbulence