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Theoretical foundations of quantum hydrodynamics for plasmas

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Moldabekov, Zh. A., Bonitz, M., Ramazanov, T. S.·2018·Physics of Plasmas
DOI 10.1063/1.5003910
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Abstract

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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Crossref · 10.1063/1.5003910

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  • Several improved quantum hydrodynamical models have been put forward in the recent literature.

    “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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Research works printed but not linked: 2

  1. [36]A. J¨ ungel, Transport Equations in Semiconductors , (Springer, Berlin, 2009).
  2. [38]S. A. Khan, and M. Bonitz, Chapter in: Introduction to Complex Plasmas: Scientific Challenges and Technological Opportunities, M. Bonitz, K. Becker, J. Lopez, and H. Thomsen (Springer, New York, 2013), pp. 103-152

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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
ORCID
Venue
Physics of Plasmas
Publisher
AIP Publishing
Published
2018-03-01
Volume
25
Issue
3
ISSN
  • 1070-664X (ISSN-L)
  • 1089-7674
DOI
10.1063/1.5003910
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
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 › Plasma Diagnostics and Applications
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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