间歇涨落的秩序多重分形谱
Rank-ordered Multifractal Spectrum for Intermittent Fluctuations
摘要:
我们描述了一种新的方法,这是物理上的解释和定量准确描述的多重分形特征的间歇性事件的基础上分组的秩序波动。这种秩序谱的一般性质使它与单分形的单参数标度概念有着天然的联系。我们证明了这种技术使用从二维MHD模拟得到的结果。计算的频谱表明,从小振幅波动的近高斯特征的极端间歇状态的大罕见事件的交叉。
英文摘要:
We describe a new method that is both physically explicable and quantitatively accurate in describing the multifractal characteristics of intermittent events based on groupings of rank-ordered fluctuations. The generic nature of such rank-ordered spectrum leads it to a natural connection with the concept of one-parameter scaling for monofractals. We demonstrate this technique using results obtained from a 2D MHD simulation. The calculated spectrum suggests a crossover from the near Gaussian characteristics of small amplitude fluctuations to the extreme intermittent state of large rare events.
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