Gradient correction and Bohm potential for two‐ and one‐dimensional electron gases at a finite temperature. Issue 10 (9th November 2017)

• Record Type: Journal Article
• Authors: Moldabekov, Zh.A.; Bonitz, M.; Ramazanov, T.S.
• Is Part Of: Contributions to plasma physics. Volume 57:Issue 10(2017)
• Page Start: 499
• Page End: 505
• Publication Date: 2017-11-09
• Subjects: Fermion systems and electron gas -- quantum plasmas -- Thomas–Fermi model; Plasma (Ionized gases) -- Periodicals; Electronic journals; 530.44
• DOI: 10.1002/ctpp.201700113
• Languages: English
• ISSNs: 0863-1042

Abstract

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.