Nonuniversal power-law spectra in turbulent systems.
Nonuniversal power-law spectra in turbulent systems.
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湍流系统中的非通用幂律谱。
DOI：
10.1103/physrevlett.111.075001
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发表时间：
2013
影响因子：
8.6
通讯作者：
M. Wilczek
中科院分区：
文献类型：
--
作者：
V. Bratanov;F. Jenko;D. Hatch;M. Wilczek
湍流通常与尺度范围内的普适指数谱有关，而没有显著的驱动力或衰减。虽然许多湍流系统的例子没有表现出这样的惯性范围，但仍然可以观察到幂函数谱。作为这种情况的一个简单模型，研究了Kuramoto-Sivashinsky方程的一个修正版本。通过半解析和数值研究，我们发现了在谱范围内具有非普适指数的幂定律，对于这个谱范围，非线性和线性时间尺度的比率是(大致)尺度无关的。
Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be observed. As a simple model for such situations, a modified version of the Kuramoto-Sivashinsky equation is studied. By means of semianalytical and numerical studies, one finds power laws with nonuniversal exponents in the spectral range for which the ratio of nonlinear and linear time scales is (roughly) scale independent.