2020
DOI: 10.1016/j.jqsrt.2020.107002
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Quantifying the statistical noise in computer simulations of Stark broadening

Abstract: Computer simulations employed in Stark broadening calculations are reexamined within the perspective of giving error bars to results. As a rule, the calculated spectra exhibit a noisy structure, which is inherent to the random number generators involved in the numerical method. Using a variance estimator, we quantify the statistical noise on simulated line shapes. Two expressions for the radiated power spectrum, which are analytically equivalent but lead to different noise levels, are considered. A discussion … Show more

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Cited by 13 publications
(9 citation statements)
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“…Performing this average requires the use of a set of several thousands histories to ensure that the statistical noise remains weak. An alternative approach allowing a more efficient reduction of this noise has been recently proposed [ 9 ] but is not used here. The last step is the calculation of the line shape, which involves the use of a numerical Fourier transform: Ifalse(ωfalse)=1πRe0normal∞Cfalse(tfalse)expfalse(iωtfalse)dt. …”
Section: Computer Simulation Of Dynamic Stark Effectmentioning
confidence: 99%
“…Performing this average requires the use of a set of several thousands histories to ensure that the statistical noise remains weak. An alternative approach allowing a more efficient reduction of this noise has been recently proposed [ 9 ] but is not used here. The last step is the calculation of the line shape, which involves the use of a numerical Fourier transform: Ifalse(ωfalse)=1πRe0normal∞Cfalse(tfalse)expfalse(iωtfalse)dt. …”
Section: Computer Simulation Of Dynamic Stark Effectmentioning
confidence: 99%
“…Finally, in order to simulate an ensemble average over plasma configurations, a very large number of electric field time series is computed. Such an approach is computationally feasible for such non-interacting simulations and has been employed in many previous calculations (e.g., Gigosos and Cardeñoso, 1987;Stambulchik and Maron, 2006;Djurović et al, 2009;Rosato et al, 2020). We note that there is not agreement in the community whether the Debye shielding in these calculations should include screening by both electrons and protons, or just electrons.…”
Section: Distribution Of Electric Fieldsmentioning
confidence: 99%
“…Xenomorph is a simulation-based line profile code developed by T. Gomez (Gomez, 2013;Gomez et al, 2016), and which was recently updated by Cho (2021). While many simulation-based approaches have been made in the literature (e.g., Gigosos and Cardeñoso, 1987;Stambulchik and Maron, 2006;Djurović et al, 2009;Rosato et al, 2020;Tremblay et al, 2020), to our knowledge Xenomorph is the first such code to include a numerical implementation of OP.…”
Section: Implementation In Xenomorphmentioning
confidence: 99%
“…More elaborate techniques using dedicated models and codes can be used (e.g., see reports of previous SLSP workshops [8,9]). In the following, we report on computer simulations performed using a code developed previously for tokamak plasma spectroscopy applications [10,11]. The Zeeman effect is retained by adding the term −µ•B (with µ being the magnetic moment) to H 0 .…”
Section: Line Broadening Modelingmentioning
confidence: 99%