Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma. II. Dispersion dependencies

Andreev, Pavel A.

doi:10.1063/1.4975015

Cited by 14 publications

(26 citation statements)

References 38 publications

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“…The parts of the dielectric permeability tensor by ε αβ 10 , ε αβ 11 , ε αβ 21 are in accordance with the earlier developed models [6,7,24,57], while tensors ε αβ 12 and ε αβ 22 are the generalization of the mentioned papers.…”

Section: Structure Of the Dielectric Permeability Tensorsupporting

confidence: 87%

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Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Andreev

Kuz'menkov

2017

Physics of Plasmas

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A consideration of waves propagating parallel to the external magnetic field is presented. The dielectric permeability tensor is derived from quantum kinetic equations with non-trivial equilibrium spin-distribution functions in the linear approximation on amplitude of wave perturbations. It is possible to consider equilibrium spin-distribution functions with nonzero z-projection proportional to the difference of the spin distribution function while x-and y-projections are equal to zero. It is called trivial equilibrium spin-distribution functions. In general case, x-and y-projections of the spin-distribution functions are nonzero which is called the non-trivial regime. Corresponding equilibrium solution is found in [Phys. Plasmas 23, 062103 (2016)]. Contribution of the nontrivial part of the spin-distribution function appears in the dielectric permeability tensor in the additive form. It is explicitly found here. Corresponding modification in the dispersion equation for the transverse waves is derived. Contribution of nontrivial part of the spin-distribution function in the spectrum of transverse waves is calculated numerically. It is found that the term caused by the nontrivial part of the spin-distribution function can be comparable with the classic terms for the relatively small wave vectors and frequencies above the cyclotron frequency. In majority of regimes, the extra spin caused term dominates over the spin term found earlier, except the small frequency regime, where their contributions in the whistler spectrum are comparable. A decrease of the lefthand circularly polarized wave frequency, an increase of the high-frequency right-hand circularly polarized wave frequency, and a decrease of frequency changing by an increase of frequency at the growth of the wave vector for the whistler are found. A dramatic decrease of the spin wave frequency resulting in several times larger group velocity of the spin wave is found either. Found dispersion equations are used for obtaining of an effective quantum hydrodynamics reproducing these results. This generalization requires the introduction of corresponding equation of state for the thermal part of the spin current in the spin evolution equation.

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Section: Structure Of the Dielectric Permeability Tensorsupporting

confidence: 87%

“…Corresponding research is performed in Refs. [6,7]. It is shown that the kinetic analysis can be done with non-zero equilibrium scalar distribution function f 0 and non-zero z-projection of the equilibrium spin distribution function S 0z while S 0x = S 0y = 0 [6,7].…”

Section: Introductionmentioning

confidence: 99%

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Andreev

Kuz'menkov

2017

Physics of Plasmas

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“…If a s cos α ≪| n − ξ |, we find an approximate form of (17) It is enough including l up to l = n in each group of terms.…”

Section: Appendix A: Intermediate Form Of the Dispersion Equatiomentioning

confidence: 99%

“…There is a paper on the kinetic model with the SSE [15]. These papers [16,17] deal with the single fluid kinetic model of electrons, but different distributions for electrons with different spin projections are introduced at the derivation of the equilibrium distribution functions.…”

Section: Introductionmentioning

confidence: 99%

Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas

Andreev

2018

Physics of Plasmas

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Oblique propagation of the spin-electron acoustic waves in degenerate magnetized plasmas is considered in terms of quantum kinetics with the separate spin evolution, where the spin-up electrons and the spin-down electrons are considered as two different species with different equilibrium distributions. It is considered in the electrostatic limit. Corresponding dispersion equation is derived. Analytical analysis of the dispersion equation is performed in the long-wavelength limit to find an approximate dispersion equation describing the spin-electron acoustic wave. The approximate dispersion equation is solved numerically. Real and imaginary parts of the spin-electron acoustic wave frequency are calculated for different values of the parameters describing the system. It is found that the increase of angle between direction of wave propagation and the external magnetic field reduces the real and imaginary parts of spin-electron acoustic wave frequency. The increase of the spin polarization decreases the real and imaginary parts of frequency either. The imaginary part of frequency has nonmonotonic dependence on the wave vector which shows a single maximum. The imaginary part of frequency is small in compare with the real part for all parameters in the area of applicability of the obtained dispersion equation.

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“…The general many-particle form of the quantum Bohm potential in the Euler equation is found in Ref. [42] (see equation 29). Let us stress that it is found with no assumptions.…”

Section: Fig 4: the Low-frequency Solutions Of Equationmentioning

confidence: 99%

Electrostatic Langmuir waves and spin-electron-acoustic waves in spin polarized plasma double layer

et al. 2019

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The quantum hydrodynamic model of the electrostatic waves in the two parallel layers of two dimensional electron gases (2DEGs) is developed. It is considered for two regimes: classic regime and quantum regime with the separate spin evolution. Two Langmuir-like waves are found in classic case which have an interference-like pattern in the frequency dependence on concentration ω 2 ∼ (n01 + n02 ± 2 √ n01n02). They appear instead of two 2D Langmuir waves in noninteracting 2DEGs. The spectrum of four waves is found in the quantum regime. Two extra waves are related to the separate spin evolution and associated to the spin-electron acoustic waves. The influence of the quantum Bohm potential is considered either.

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Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma. II. Dispersion dependencies

Cited by 14 publications

References 38 publications

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas

Electrostatic Langmuir waves and spin-electron-acoustic waves in spin polarized plasma double layer

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