Possibility of Soft-Mode Turbulence in Reaction-Diffusion Systems
Possibility of Soft-Mode Turbulence in Reaction-Diffusion Systems
复制标题
反应扩散系统中软模式湍流的可能性
DOI：
10.1143/ptp.106.315
复制
发表时间：
2001
影响因子：
--
通讯作者：
Tomoji Yamada
中科院分区：
文献类型：
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作者：
H. Fujisaka;Tomoji Yamada
提出了在反应扩散系统中观测软模湍流的可能性。假设空间均匀的时间振荡对于短波长模变得不稳定，我们导出了相位动力学的简化方程：φ今（r，t）= − <$2 [ −（<$2 + k 0）] φ +（<$φ）2.与Kuramoto-Sivashinsky方程在长波长波动区域具有不稳定模式相反，本相位方程在有限波数k 0（> 0）附近的短波长区域具有不稳定模式。在一维系统中，上述被称为表现湍流行为（软模式湍流）的方程。新方程将这种湍流推广到更高的维度。
We propose the possibility of the observation of soft-mode turbulence in reaction-diffusion systems. Assuming that spatially uniform temporal oscillation becomes unstable with respect to short wavelength modes, we derive the reduced equation for phase dynamics, φ̇(r, t) = −∇2 [ − (∇2 + k 0) ] φ + (∇φ)2. In contrast to that the Kuramoto-Sivashinsky equation, which has unstable modes in the region of long wavelength fluctuations, the present phase equation has unstable modes in a short wavelength region near a finite wavenumber k0 for > 0. In a one-dimensional system, the above is known as an equation exhibiting turbulent behavior (soft-mode turbulence). The new equation generalizes such turbulence to higher dimensions.
DOI：
--
发表时间：
2006
期刊：
Progress of Theoretical Physics Supplement No.161
影响因子：
--
作者：
Yoshiki HIDAKA;Koyo TAMURA and Shoichi KAI
通讯作者：
Koyo TAMURA and Shoichi KAI