Enstrophy dissipation in two-dimensional turbulence.
Enstrophy dissipation in two-dimensional turbulence.
复制标题
二维湍流中的熵耗散。
DOI：
10.1103/physreve.72.056314
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
C. Maes
中科院分区：
文献类型：
--
作者：
M. Baiesi;C. Maes
通过与热传导网络的类比，可以深入了解二维湍流问题。它允许识别与熵耗散相关的熵函数，并在正（平均值）值附近波动。虽然相应的熵网络是高度非局域的，但熵电流的方向遵循热力学第二定律。一个重要的参数是驱动强度作为波数的函数与耗散强度之比，其中为粘度。熵变电流从较高的值流向较低的值，类似于热电流从较高的温度流向较低的温度。因此，我们对熵耗散的概率分析和与热传导的类比，补充和可视化了直接熵级联的更传统的谱论证。我们还展示了总熵产分布的涨落对称性，它与正熵级联和逆熵级联的概率有关。
Insight into the problem of two-dimensional turbulence can be obtained by an analogy with a heat conduction network. It allows the identification of an entropy function associated with the enstrophy dissipation and that fluctuates around a positive (mean) value. While the corresponding enstrophy network is highly nonlocal, the direction of the enstrophy current follows from the Second Law of Thermodynamics. An essential parameter is the ratio of the intensity of driving as a function of wave number , to the dissipation strength , where is the viscosity. The enstrophy current flows from higher to lower values of , similar to a heat current from higher to lower temperature. Our probabilistic analysis of the enstrophy dissipation and the analogy with heat conduction thus complements and visualizes the more traditional spectral arguments for the direct enstrophy cascade. We also show a fluctuation symmetry in the distribution of the total entropy production which relates the probabilities of direct and inverse enstrophy cascades.