Region of validity of the Thomas–Fermi model with corrections

Dyachkov, S. A.; Levashov, P. R.; Minakov, D. V.

doi:10.1063/1.4967764

Cited by 19 publications

(11 citation statements)

References 13 publications

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“…That is why in Figure we have presented α e along the isotherm T = 13 kK according to the present model and the data of the Thomas–Fermi model, which is the predecessor of all modern AAM (see, for instance, Ref. ). One can see that the latter demonstrates full ionization over all ranges of density.…”

Section: Resultsmentioning

confidence: 90%

The pressure, internal energy, and conductivity of tantalum plasma

Apfelbaum

2017

Contrib. Plasma Phys

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The pressure, internal energy, and conductivity of a tantalum plasma were calculated at the temperatures 10–100 kK and densities less than 3 g/cm3. The plasma composition, pressure, and internal energy were obtained by means of the corresponding system of the coupled mass action law equations. We have considered atom ionization up to +3. The conductivity was calculated within the relaxation time approximation. Comparisons of our results with available measurements and calculation data show good agreement in the area of correct applicability of the present model.

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Section: Resultsmentioning

confidence: 90%

The pressure, internal energy, and conductivity of tantalum plasma

Apfelbaum

2017

Contrib. Plasma Phys

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“…The plasma is fully ionized if α e > 1 and partially ionized in the opposite case. In Figure we show the behaviour of the ionization degree for three models at T = 10 kK, namely the Thomas–Fermi (TF) model, the chemical model developed in, and the present model. Because the latter has the limitation by the density from the above, we have presented only the values below the corresponding ρ lim , which is marked in Figure by an arrow.…”

Section: Resultsmentioning

confidence: 99%

The thermophysical properties of low‐temperature Pb plasma

Apfelbaum

2019

Contributions to Plasma Physics

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The thermophysical properties of low‐temperature Pb plasma are calculated at temperatures 10–100 kK and densities below 0.2 of the solid‐state value. The thermodynamic values (pressure and internal energy) and transport coefficients (electrical conductivity, thermal conductivity, and thermal power) are considered. The plasma composition and thermodynamic parameters are obtained within the chemical approach, namely by means of the solution of the corresponding system of the coupled mass action law equations. Atom ionization up to +4 is taken into consideration. The electronic transport coefficients are calculated within the relaxation time approximation. The results obtained by means of the present model are compared with the available data of other models and experiments.

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“…where Ξ(x) = αΨ 1 (x) + (1 − α)Ψ 2 (x) is the complete wavefunction with α = ω 2 p1 /ω 2 p2 being the fractional plasmon frequency of streams. We have used the Thomas-Fermi assumption in which the chemical potential variations are neglected (µ 1 = µ 2 = µ 0 ) and the temperature is fixed in agreement with the single-electron Fermi-Dirac distribution [68,69]. Further more we have used the normalization scheme in which E = (ǫ − µ 0 )/E p with E p = hω p being the plasmon energy and ω p = 4πe 2 n 0 /m the plasmon frequency.…”

Section: Electron Beam Interference Effectsmentioning

confidence: 99%

Quantum Interference and Phase Mixing in Multistream Plasmas

Akbari-Moghanjoughi¹

2021

Preprint

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In this paper the kinetic corrected Schrödinger-Poisson model is used to obtain the pseudoforce system in order to study variety of streaming electron beam-plasmon interaction effects. The noninteracting stream model is used to investigate the quantum electron beam interference and electron fluid Aharonov-Bohm effects. The model is further extended to interacting two-stream quantum fluid model in order to investigate the orbital quasiparticle velocity, acceleration and streaming power. It is shown that quantum phase mixing in the two-stream model is due to quasiparticle conduction band overlap caused by the Doppler shift in streaming electron de Broglie wavenumbers, a phenomenon which is also known to be a cause for two-stream plasma instability. However, in this case the phase mixing leads to some novel phenomena like stream merging and backscattering.To show the effectiveness of model, it is used to investigate the electron beam-phonon and electron beam-lattice interactions in different beam, ion and lattice parametric configurations. Current density of beam is studied in spatially stable and damping quasiparticle orbital for different symmetric and asymmetric momentum-density arrangements. These basic models may be helpful in better understanding of quantum phase mixing and scattering at quantum level and can be elaborated to study electromagnetic electron beam-plasmon interactions in complex quantum plasmas.

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Region of validity of the Thomas–Fermi model with corrections

Cited by 19 publications

References 13 publications

The pressure, internal energy, and conductivity of tantalum plasma

The pressure, internal energy, and conductivity of tantalum plasma

The thermophysical properties of low‐temperature Pb plasma

Quantum Interference and Phase Mixing in Multistream Plasmas

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