Power law spectra and intermittent fluctuations due to uncorrelated Lorentzian pulses
arXiv:1612.07961 · doi:10.1063/1.4975645
Abstract
A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary process. A random distribution of pulse durations modifies the frequency spectrum and several examples are shown to result in power law spectra. The distribution of pulse durations does not influence the characteristic function and thus neither the moments nor the probability density function for the random variable. It is demonstrated that the fluctuations are intrinsically intermittent through a large excess kurtosis moment in the limit of weak pulse overlap. These results allow to estimate the basic properties of fluctuations from measurement data and describe the diversity of frequency spectra reported from measurements in magnetized plasmas.
arXiv comment12 pages, 4 figures
References in corpus (4)
- Stochastic modelling of intermittent scrape-off layer plasma fluctuations
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- Level crossings, excess times and transient plasma-wall interactions in fusion plasmas
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