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Skewed Lorentzian pulses and exponential frequency power spectra

Permanent link
https://hdl.handle.net/10037/14837
DOI
https://doi.org/10.1063/1.5004811
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Date
2018-01-18
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Garcia, Odd Erik; Theodorsen, Audun
Abstract
Frequency power spectra due to a super-position of uncorrelated Lorentzian pulses with a random distribution of amplitudes are considered. For pulses with a constant duration, there is an exponential frequency spectrum which is independent of the degree of pulse overlap and the pulse amplitude distribution. The spectrum is furthermore shown to be unaffected by skewness of the Lorentzian pulses and even a random distribution of the pulse asymmetry parameter and its correlation with the pulse amplitude. This stochastic model provides new insight into the ubiquitous exponential spectra in fluids and magnetized plasmas exhibiting deterministic chaos, where non-linear advection processes lead to amplitude dependent steepening of smooth pulses.
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This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in (citation of published article) and may be found at: http://doi.org/10.1063/1.5004811 .
Publisher
AIP
Citation
Garcia, O. E. & Theodorsen, A. (2018). Skewed Lorentzian pulses and exponential frequency power spectra. Physics of Plasmas, 25(1). http://doi.org/10.1063/1.500481
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