结构形成的统计理论：自组织
Statistical theory of structure formation: self-organization
摘要：
我们提出了第一个预测的概率分布函数（PDF）的自组织剪切流建模的非线性扩散方程与随机强迫。一种新的非微扰方法的基础上的相干结构的PDF的预测，揭示了强的指数尾的不相干性。数值模拟证实了这些结果。预测的功率谱也与模拟结果吻合得很好。结果意味着一个显着的概率超临界状态，由于随机扰动在各种系统。
英文摘要：
We present the first prediction of the probability distribution function (PDF) for self-organization of shear flows modeled by a nonlinear diffusion equation with a stochastic forcing. A novel non-perturbative method based on a coherent structure is utilized for the prediction of the PDFs, revealing strong intermittency with exponential tails. Numerical simulations confirm these results. The predicted power spectra are also in a good agreement with simulation results. The results imply a significant probability of supercritical states due to stochastic perturbation in a variety of systems.
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