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Probability distribution functions for intermittent scrape-off layer plasma fluctuations

Permanent lenke
https://hdl.handle.net/10037/12718
DOI
https://doi.org/10.1088/1361-6587/aa9f9c
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Åpne
article.pdf (473.4Kb)
Accepted manuscript, PDF (PDF)
Dato
2018-01-24
Type
Journal article
Peer reviewed
Tidsskriftartikkel

Forfatter
Theodorsen, Audun; Garcia, Odd Erik
Sammendrag
A stochastic model for intermittent fluctuations in the scrape-off layer of magnetically confined plasmas has been constructed based on a super-position of uncorrelated pulses arriving according to a Poisson process. In the most common applications of the model, the pulse amplitudes are assumed exponentially distributed, supported by conditional averaging of large-amplitude fluctuations in experimental measurement data. This basic assumption has two potential limitations. First, statistical analysis of measurement data using conditional averaging only reveals the tail of the amplitude distribution to be exponentially distributed. Second, exponentially distributed amplitudes leads to a positive definite signal which cannot capture fluctuations in for example electric potential and radial velocity. Assuming pulse amplitudes which are not positive definite often make finding a closed form for the probability density function (PDF) difficult, even if the characteristic function remains relatively simple. Thus estimating model parameters requires an approach based on the characteristic function, not the PDF. In this contribution, the effect of changing the amplitude distribution on the moments, PDF and characteristic function of the process is investigated and a parameter estimation method using the empirical characteristic function is presented and tested on synthetically generated data. This proves valuable for describing intermittent fluctuations of all plasma parameters in the boundary region of magnetized plasmas.
Beskrivelse
Accepted manuscript version available in institutional repository after 12 months embargo from publishing date. Link to publisher's version: https://doi.org/10.1088/1361-6587/aa9f9c
Forlag
IOP Publishing
Sitering
Theodorsen A, Garcia OE. Probability distribution functions for intermittent scrape-off layer plasma fluctuations. Plasma Physics and Controlled Fusion. (2018) 60; 034006 (14 p)
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