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Theoretical foundations of quantum hydrodynamics for plasmas
Open accessAbstract
Quantum hydrodynamics (QHD) theory for finite temperature plasmas is consistently derived in the framework of the local density approximation of the free energy with first order density gradient correction. Previously known results are revised and improved with a clear description of the underlying approximations. A fully non-local Bohm potential, which goes beyond all previous results and is linked to the electron polarization function in the random phase approximation, for the QHD model is presented. The dynamic QHD exchange correlation potential is introduced in the framework of local field corrections and considered for the case of the relaxation time approximation. Finally, the range of applicability of the QHD is discussed.
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“Note, however, that several improved quantum hydrodynamical models have been put forward in the recent literature; see, e.g., Refs.(Moldabekov et al. 2018;Bonitz et al. 2019;Manfredi et al. 2021).”
From Quantum kinetic theory of plasmas (2022) · cites this paper as Moldabekov et al. 2018
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Self-citation
Metadata
- Authors
- Moldabekov, Z. A., Bonitz, M., & Ramazanov, T. S.
- Affiliations
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel 1 , Leibnizstraße 15, 24098 Kiel, Germany
- Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University 2 , 71 Al-Farabi Str., 050040 Almaty, Kazakhstan
- Venue
- Physics of Plasmas
- Publisher
- AIP Publishing
- Published
- 2018-03-01
- Volume
- 25
- Issue
- 3
- ISSN
- 1070-664X (ISSN-L)
- 1089-7674
- OpenAlex
- W2753558337
- Cited by
- 159
- References
- 113
- Citations by year
- 2026: 8 · 2025: 19 · 2024: 8 · 2023: 31 · 2022: 16 · 2021: 24 · 2020: 24 · 2019: 16 · 2018: 13
- FWCI
- 8.90
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physics of Plasmas (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education and Science of the Republic of Kazakhstan (0263/PSF (2017))
- Deutscher Akademischer Austauschdienst (57214224)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Dust and Plasma Wave Phenomena
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Magnetic confinement fusion research
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Low-Pressure Plasma Processing and Diagnostics
- Keywords
- quantum hydrodynamics, finite temperature plasma, local density approximation, free energy, quantum potential, random phase approximation, exchange-correlation potential, local field correction, relaxation time approximation, scope of application
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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