2018
DOI: 10.1088/1361-6595/aaaf61
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Edge-to-center plasma density ratios in two-dimensional plasma discharges

Abstract: Edge-to-center plasma density ratios-so-called h factors-are important parameters for global models of plasma discharges as they are used to calculate the plasma losses at the reactor walls. There are well-established theories for h factors in the one-dimensional case. The purpose of this paper is to establish h factors in twodimensional (2D) systems, with guidance from a 2D particle-in-cell (PIC) simulation. We derive analytical solutions of a 2D fluid theory that includes the effect of ion inertia, but assum… Show more

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Cited by 8 publications
(12 citation statements)
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“…An international effort is underway to preform 2D benchmarks for (non-magnetized) low-pressure low-temperature plasmas [322]. Recently, there has also been a renewed interest to carry out studies on plasma sheaths in low-pressure low-temperature plasmas and to use PIC simulations to guide the development of theoretical models [323].…”
Section: State Of the Art And Recent Progressmentioning
confidence: 99%
“…An international effort is underway to preform 2D benchmarks for (non-magnetized) low-pressure low-temperature plasmas [322]. Recently, there has also been a renewed interest to carry out studies on plasma sheaths in low-pressure low-temperature plasmas and to use PIC simulations to guide the development of theoretical models [323].…”
Section: State Of the Art And Recent Progressmentioning
confidence: 99%
“…The results presented in this work were obtained using an independently developed 2D-3V PIC/MCC code called LPPic2D. 6,[42][43][44][45] In this code, a Cartesian geometry is used, but without any scaling factors applied to the permittivity or ion mass, so as to correctly preserve the relevant spatial and temporal scales. LPPic2D uses the classical structure of a 2D PIC/MCC code.…”
Section: Model Descriptionmentioning
confidence: 99%
“…Analytical expressions of the h factor were determined for each regime of pressure [10], such that general heuristic formulas can now be used for industrial applications and experiments [11,12]. Recently, the authors have proposed a heuristic formula for the h factor in two-dimensional (2D) non-magnetized plasma [13] h 0 = 0.55 3 + 0.5…”
Section: Introductionmentioning
confidence: 99%