Thomas-Fermi approximation

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Published in Vladimir Mitin, Taiichi Otsuji, Victor Ryzhii, Graphene-Based Terahertz Electronics and Plasmonics, 2020

F. T. Vasko, V. V. Mitin, V. Ryzhii, T. Otsuji

where screening is suppressed (i.e., υq → wq) if d → 0 and the complete screening (∣υq∣ ≪ ∣wq∣) takes place at d → ∞, when Eq. (7.16) coincides with the Thomas–Fermi approximation.

Obliquely overtaking collisions of electrostatic N-soliton in the Thomas-Fermi dense magnetoplasma

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Journal Information

Published in Waves in Random and Complex Media, 2021

M. Abd-Elzaher, A. Atteya

The introduction of this statistical model was first done by Thomas [19] and Fermi [20] to study a multielectron atom and was applied to investigate several systems like solid-state inertial confinement fusion and dense astrophysical plasmas. The Thomas-Fermi approximation is logical in a fully degenerate Fermi gas, where the wavelength of acoustic waves is much greater than the Fermi wavelength [18,21]. On the other side, the Thomas-Fermi approximation is valid also in the external magnetic field [22], in which the wave velocity should be much smaller than the electron Fermi-velocity. Investigations of Obliquely propagating waves properties were carried out in case of degenerate dense cold magnetoplasma, that composed of Thomas–Fermi electrons and ions as well as non-degenerate negatively charged dust particulates [23].

Thomas-Fermi approximation

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Obliquely overtaking collisions of electrostatic N-soliton in the Thomas-Fermi dense magnetoplasma