Intermittent fluctuations due to uncorrelated Lorentzian pulses
arXiv:1801.04715 · doi:10.1063/1.5020555
Abstract
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.
12 pages, 3 figures
References in corpus (8)
- Scrape-off layer turbulence in TCV: evidence in support of stochastic modelling
- Auto-correlation function and frequency spectrum due to a super-position of uncorrelated exponential pulses
- Statistical properties of a filtered Poisson process with additive random noise: Distributions, correlations and moment estimation
- Convergence of statistical moments of particle density time series in scrape-off layer plasmas
- Level crossings, excess times and transient plasma-wall interactions in fusion plasmas
- Power law spectra and intermittent fluctuations due to uncorrelated Lorentzian pulses
- Chaotic edge density fluctuations in the Alcator C-Mod tokamak
- Skewed Lorentzian pulses and exponential frequency power spectra