The DOI matches its Crossref record; 113 of the 113 references it cites were found in a registry or an index.
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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Cites
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Cited by
Sorted by citations
Ab initio simulation of warm dense matter
Bönitz, M., Dornheim, T., Moldabekov, Z. A., Zhang, S., Hamann, P., Kählert, H., Filinov, A., Ramakrishna, K., & Vorberger, J. (2020) · Physics of Plasmas · doi:10.1063/1.5143225 · Cited by 203
Self-citationDornheim, T., Groth, S., Vorberger, J., & Bonitz, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.255001 · Cited by 155
Mesoscopic electrodynamics at metal surfaces
Mortensen, N. A. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0156 · Cited by 117
Quantum hydrodynamics for plasmas—Quo vadis?
Bonitz, M., Moldabekov, Z. A., & Ramazanov, T. S. (2019) · Physics of Plasmas · doi:10.1063/1.5097885 · Cited by 110
Self-citationDornheim, T., Vorberger, J., Groth, S., Hoffmann, N., Moldabekov, Z. A., & Bönitz, M. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5123013 · Cited by 101
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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
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