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- Title
Gradient correction and Bohm potential for two- and one-dimensional electron gases at a finite temperature.
- Authors
Moldabekov, Zh.A.; Bonitz, M.; Ramazanov, T.S.
- Abstract
From the static polarization function of electrons in the random phase approximation, the quantum Bohm potential for the quantum hydrodynamic description of electrons and the density gradient correction to the Thomas-Fermi free energy at a finite temperature for the two- and one-dimensional cases are derived. The behaviour of the Bohm potential and of the density gradient correction as a function of the degeneracy parameter is discussed. Based on recent developments in the fluid description of quantum plasmas, the Bohm potential for the high-frequency domain is presented.
- Subjects
ELECTRON gas; TEMPERATURE measurements; QUANTUM potentials (Quantum mechanics); FREE energy (Thermodynamics); THOMAS-Fermi model
- Publication
Contributions to Plasma Physics, 2017, Vol 57, Issue 10, p499
- ISSN
0863-1042
- Publication type
Article
- DOI
10.1002/ctpp.201700113