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Interoccurrence time statistics in fully-developed turbulence

机译:充分发展的湍流中的并发时间统计

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摘要

Emergent extreme events are a key characteristic of complex dynamical systems. The main tool for detailed and deep understanding of their stochastic dynamics is the statistics of time intervals of extreme events. Analyzing extensive experimental data, we demonstrate that for the velocity time series of fully-developed turbulent flows, generated by (i) a regular grid; (ii) a cylinder; (iii) a free jet of helium, and (iv) a free jet of air with the Taylor Reynolds numbers Reλ from 166 to 893, the interoccurrence time distributions P(τ) above a positive threshold Q in the inertial range is described by a universal q- exponential function, P(τ) = β(2 − q)[1 − β(1 − q)τ]1/(1−q), which may be due to the superstatistical nature of the occurrence of extreme events. Our analysis provides a universal description of extreme events in turbulent flows.
机译:紧急事件是复杂动力系统的关键特征。详细了解其随机动态的主要工具是极端事件时间间隔的统计信息。分析大量的实验数据,我们证明了对于充分发展的湍流的速度时间序列,其由(i)规则网格生成; (ii)汽缸; (iii)氦的自由射流,和(iv)泰勒雷诺数Reλ从166到893的空气的自由射流,惯性范围中正阈值Q以上的相生时间分布P(τ)用a表示。通用q指数函数P(τ)=β(2-q)[1-β(1-q)τ] 1 /(1-q),可能是由于超统计极端事件发生的性质。我们的分析提供了湍流中极端事件的通用描述。

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