Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma. I. Dielectric permeability tensor for magnetized plasmas

Andreev, Pavel A.

doi:10.1063/1.4975014

Cited by 25 publications

(27 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The kinetic model of degenerate electron gas presented in Refs. [16], [17] does not show influence of the spin dynamics on the Bernstein mode spectrum. Moreover, there is an extra spin caused transverse wave which is called the zeroth cyclotron wave [4], [17].…”

Section: Introductionmentioning

confidence: 82%

See 1 more Smart Citation

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

Andreev

2018

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 82%

“…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

Self Cite

View full text Add to dashboard Cite

show abstract

“…The electron spin effect is another quantum effect that has been extensively studied in the plasma waves and instabilities during the last decade. [30][31][32][33][34] Contrib. [19,20] Moreover, to understand the non-linear dynamics of spin-1/2 quantum plasmas, the QHD model for spin-1/2 particles has been derived and its usefulness demonstrated in solid-state plasma as well as in astrophysical plasma.…”

Section: Introductionmentioning

confidence: 99%

“…[22][23][24][25][26][27][28][29] Subsequently, the kinetic quantum model for spin-1/2 quantum plasmas was developed and was applied to study the dispersion properties of different plasma waves. [30][31][32][33][34] Contrib. Plasma Phys.…”

mentioning

confidence: 99%

Lower hybrid wave instability in a spin‐polarized degenerate plasma

Iqbal

Khanum

Murtaza

2018

Contributions to Plasma Physics

View full text Add to dashboard Cite

Lower hybrid (LH) wave instability excited due to an electron beam in a spin-polarized degenerate plasma is studied. Using the Separate Spin Evolution quantum hydrodynamic model, incorporating Coulomb exchange interaction and Bohm potential, the general dispersion relation of nearly perpendicular propagating electrostatic waves is derived. Furthermore, in the low-frequency limit, the dispersion of LH wave is obtained. It is found that the electron spin polarization and beam streaming speed reduce the growth rate as well as the k-domain. However, the beam density and the propagation angle enhance both the growth rate and k-domain of LH instability. In addition, the contribution of the Bohm potential term increases the intensity of the growth rate. All these effects may have a strong bearing on the wave and instability phenomena in spin-polarized plasmas. KEYWORDS electron beam, exchange interaction, solid state plasma, spin polarization INTRODUCTIONThe quantum effects play quite an important role in the study of astrophysical environments like white and brown dwarfs, neutron stars, magnetars, and core of giant planets (e.g., Jovian planets) [1][2][3][4] and in the laboratory environment, for example, laser-produced plasma, [5] in the development of nanostructured materials, [6] quantum wells, [7] and in the study of ultra-cold plasmas. [8] In order to understand such problems, a quantum version of the classical hydrodynamic model, later named quantum hydrodynamic (QHD) model, has been developed and extensively used to study the properties of plasma waves, streaming, and wake effects in the plasma. [9][10][11][12][13][14][15][16] Recently, the QHD model has been derived in the frame work of local density approximation. This modified QHD model contains the finite temperature effect, correction in Bohm potential, and exchange correlation potential effects. Furthermore, the applicability of QHD model for different range of wave numbers and frequency has been discussed. [17] Using the QHD model and incorporating the electron exchange-correlation effects, the parametric instabilities induced by the non-linear interaction between high-frequency quantum Langmuir waves and low-frequency quantum ion-acoustic waves have been studied in Ref. [18]. The electron spin effect is another quantum effect that has been extensively studied in the plasma waves and instabilities during the last decade. To understand the electron spin effects on the wave dispersion characteristics in quantum plasma, the QHD model for spin-1/2 particles was presented by Kuz'menkov. [19,20] Moreover, to understand the non-linear dynamics of spin-1/2 quantum plasmas, the QHD model for spin-1/2 particles has been derived and its usefulness demonstrated in solid-state plasma as well as in astrophysical plasma. [21] The QHD model for spin-1/2 particles has received a great deal of attention due to emergence of some new wave phenomena and its effect on instabilities. [22][23][24][25][26][27][28][29] Subsequently, the kinetic quantum model for spin-1/2 quantum p...

show abstract

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma. I. Dielectric permeability tensor for magnetized plasmas

Cited by 25 publications

References 48 publications

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

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

Lower hybrid wave instability in a spin‐polarized degenerate plasma

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

Contact Info

Product

Resources

About