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The energy conserving particle-in-cell method
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Another set of works studied numerically ECR discharges with a grid extraction system using a simplified approach where the MW fields were calculated from Eqs. (10) and (11) but without taking into account the plasma contribution, i.e., with j = 0.
“Another set of works 26,116,156-160 studied numerically ECR discharges with a grid extraction system. They used the aforementioned simplified approach, where the MW fields were calculated from Eqs. (10) and (11), but without taking into account the plasma contribution, i.e., with j = 0.”
From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [157]
The Algorithm (p. 4) describes an energy-conserving particle-in-cell method and calculates current density from particles; it does not describe ECR discharges, a grid extraction system, or microwave fields calculated with j = 0. Searches for those terms found no passage addressing the attributed approach. (LLM, conf=0.77)
Experimental — accuracy not yet measuredRef. 157 observed an azimuthally rotating instability in the discharge chamber, which breaks the azimuthal symmetry and produces an azimuthal electric field, causing an enhanced axial transport of electrons due to the E × B electron drift.
“In Ref. 157, an azimuthally rotating instability in the discharge chamber was observed, which breaks the azimuthal symmetry and produces an azimuthal electric field, causing an enhanced axial transport of electrons due to the E × B electron drift with B the magnetic field with a finite radial component.”
From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [157]
Sections 7.2 and 7.3 (p. 20) discuss simulated two-stream and Weibel instabilities, not an observed rotating instability in a discharge chamber. Searches for an azimuthal electric field and enhanced axial electron transport by E × B drift found no passage addressing the claim in our copy. (LLM, conf=0.78)
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Research works printed but not linked: 17
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- Marder, 1987, A method for incorporating Gauss’ law into electromagnetic PIC codes, Journal of Computational Physics, 68, 48, 10.1016/0021-9991(87)90043-X · DOI
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- W.T. Taitano, Development of a Jacobian-free-Newton–Krylov method with kinetic enslavement to implicitly solve Vlasov–Poisson system in plasma physics, Masters Thesis, Nuclear Engineering, University of Idaho, 2010.
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Plasma propulsion modeling with particle-based algorithms
Taccogna, F., Cichocki, F., Eremin, D., Fubiani, G., & Garrigues, L. (2023) · Journal of Applied Physics · doi:10.1063/5.0153862 · Cited by 29
Metadata
- Authors
- Markidis, S., & Lapenta, G.
- Affiliations
- KU Leuven (BE)
- Corresponding author
- Markidis, Stefano
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 2011-08
- Volume
- 230
- Issue
- 18
- Pages
- 7037-7052
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W2079467040
- Cited by
- 201
- References
- 0
- Citations by year
- 2026: 15 · 2025: 24 · 2024: 18 · 2023: 19 · 2022: 10 · 2021: 11 · 2020: 10 · 2019: 17 · 2018: 13 · 2017: 9 · 2016: 14 · 2015: 12 · 2014: 16 · 2013: 6 · 2012: 4
- FWCI
- 9.01
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Computational Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Solar and Space Plasma Dynamics
- Physical Sciences › Mathematics › Numerical Analysis › Numerical Solvers for Ordinary Differential Equations
- Keywords
- energy conservation (physics), implicit midpoint rule, two-stream instability, Weibel instability, grid instability, plasma simulation, electromagnetic field equations
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