Filament turbulence in oscillatory media
Filament turbulence in oscillatory media
复制标题
振荡介质中的细丝湍流
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Jörn Davidsen
中科院分区：
文献类型：
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作者：
James C. Reid;Hugues Chaté;Jörn Davidsen
实验和理论研究表明，有界三维介质中的细丝湍流可以由多种不同的机制或不稳定性引起。在本文中，我们证明了在振荡介质中，正如复数Ginzburg-Landau方程所描述的那样，这些不同的不稳定性产生了不同的湍流细丝行为，这些行为反映在介质表面的统计性质上。我们特别发现，只要系统尺寸足够大以确保广泛的湍流，就可以通过附着在介质表面的细丝的不同产生速率的不同形式来明确地识别负线张力区域和振幅湍流区域中的特定细丝动力学。这意味着，研究表面的动力学就足够了，这使得人们即使在无法获得整体动力学的情况下也能做出预测。我们还发现，在振幅湍流区域，三维介质表面湍流动力学的统计特性与二维介质表面的湍流动力学统计特性是相同的。
Experiments and theoretical studies show that filament turbulence in bounded three-dimensional media can arise due to a number of different mechanisms or instabilities. In this paper, we show that in oscillatory media, as described by the complex Ginzburg-Landau equation, these different instabilities generate different turbulent filament behaviors that are reflected in the statistical properties on the surface of the medium. We find in particular that the specific filament dynamics in the regime of negative line tension and in the regime of amplitude turbulence can be unambiguously identified by the differing forms for the creation rates of filaments attached to the surface of the medium, as long as the system size is sufficiently large to ensure extensive turbulence. This implies that it is sufficient to study the dynamics on the surface, which allows one to make predictions even if the bulk dynamics is inaccessible. We also find that in the regime of amplitude turbulence the statistical properties of the turbulent dynamics on the surface of a three-dimensional medium are identical to that of a two-dimensional medium.