非关联洛伦兹脉冲引起的间歇涨落
Intermittent fluctuations due to uncorrelated Lorentzian pulses
摘要：
考虑了振幅和持续时间随机分布的不相关洛伦兹脉冲叠加引起的波动。这些被证明是强烈间歇性的限制弱脉冲重叠，导致大的偏斜度和平坦度的时刻。导出了特征函数和最低阶矩，揭示了偏度矩和平坦度矩之间的抛物线关系。数值积分揭示了指数分布和拉普拉斯分布脉冲幅度情况下的概率密度函数。这个随机模型描述了在湍流流体和磁化等离子体中经常观察到的具有指数尾的间歇性波动和概率密度。
英文摘要：
Fluctuations due to a super-position of uncorrelated Lorentzian pulses with a random distribution of amplitudes and duration times are considered. These are demonstrated to be strongly intermittent in the limit of weak pulse overlap, resulting in large skewness and flatness moments. The characteristic function and the lowest order moments are derived, revealing a parabolic relationship between the skewness and flatness moments. Numerical integration reveals the probability density functions in the case of exponential and Laplace distributed pulse amplitudes. This stochastic model describes the intermittent fluctuations and probability densities with exponential tails commonly observed in turbulent fluids and magnetized plasmas.
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