Circularly polarized modes in magnetized spin plasmas

Misra, A. P.; Brodin, Gert; Marklund, Mattias; Shukła, P. K.

doi:10.1017/s0022377810000450

Cited by 61 publications

(77 citation statements)

References 30 publications

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“…(28)] and the lower branch of the X-wave [ΩXL in Eq. (25)] are plotted to show the effects of different quantum parameters. The solid line is such when all the three effects, namely the degenerate pressure, the exchange-correlation and the quantum dispersion are present (H = Ωc = 0.5).…”

Section: Discussionmentioning

confidence: 99%

“…Note that corresponding to two different X-wave modes given by Eq. (25), and using Eqs. (26) and (27) one can obtain different expressions for the phase velocity and group velocity.…”

Section: A Phase Velocity and Group Velocity Of X-wavementioning

confidence: 99%

“…In such systems, the quantum effects significantly change the collective behaviors of plasma species [20][21][22][23] . For instance, the Bohm potential leads to appearance of higher-order corrections in the dispersion relation, meanwhile the spin magnetization contributes to the linear dispersion of electromagnetic modes 24,25 etc. Several theoretical models have been proposed to study the collective behaviors and associated nonlinear structures in quantum plasmas 24 .…”

Section: Introductionmentioning

confidence: 99%

“…Several theoretical models have been proposed to study the collective behaviors and associated nonlinear structures in quantum plasmas 24 . Furthermore, the quantum magnetohydrodynamic (QMHD) model has also been extensively used to study the influence of quantum effects on the wave propagation in quantum plasmas [25][26][27][28][29] . Shukla 22 investigated the combined effects of the quantum Bohm potential and the electron spin-1/2 effects on the extraordinary (X) EM (X-EM) waves in a warm dense magnetoplasma.…”

Section: Introductionmentioning

confidence: 99%

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Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Shahmansouri

Misra

2016

Physics of Plasmas

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The dispersion properties of elliptically polarized electromagnetic (EM) waves in a magnetized electronpositron-pair (EP-pair) plasma are studied with the effects of particle dispersion associated with the Bohm potential, the Fermi degenerate pressure, and the exchange-correlation force. Two possible modes of the extraordinary or X wave, modified by these quantum effects, are identified and their propagation characteristics are investigated numerically. It is shown that the upper-hybrid frequency, and the cutoff and resonance frequencies are no longer constants but are dispersive due to these quantum effects. It is found that the particle dispersion and the exchange-correlation force can have different dominating roles on each other depending on whether the X waves are of short or long wavelengths (in comparison with the Fermi Debye length). The present investigation should be useful for understanding the collective behaviors of EP plasma oscillations and the propagation of extraordinary waves in magnetized dense EP-pair plasmas.

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Section: Discussionmentioning

confidence: 99%

“…Note that corresponding to two different X-wave modes given by Eq. (25), and using Eqs. (26) and (27) one can obtain different expressions for the phase velocity and group velocity.…”

Section: A Phase Velocity and Group Velocity Of X-wavementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Shahmansouri

Misra

2016

Physics of Plasmas

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“…Papers [31], [32], [38] did not included contribution of the quantum Bohm potential in the spin current in the magnetic moment evolution equation. In this paper the quantum Bohm potential is included.…”

Section: B Transverse Wavesmentioning

confidence: 99%

Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas

Andreev

2015

Physics of Plasmas

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We discuss complete theory of spin-1/2 electron-positron quantum plasmas, when electrons and positrons move with velocities mach smaller than the speed of light. We derive a set of two fluid quantum hydrodynamic equations consisting of the continuity, Euler, spin (magnetic moment) evolution equations for each species. We explicitly include the Coulomb, spin-spin, Darwin and annihilation interactions. The annihilation interaction is the main topic of the paper. We consider contribution of the annihilation interaction in the quantum hydrodynamic equations and in spectrum of waves in magnetized electron-positron plasmas. We consider propagation of waves parallel and perpendicular to an external magnetic field. We also consider oblique propagation of longitudinal waves. We derive set of quantum kinetic equations for electron-positron plasmas with the Darwin and annihilation interactions. We apply the kinetic theory for the linear wave behavior in absence of external fields. We calculate contribution of the Darwin and annihilation interactions in the Landau damping of the Langmuir waves. We should mention that the annihilation interaction does not change number of particles in the system. It does not related to annihilation itself, but it exists as a result of interaction of an electron-positron pair via conversion of the pair into virtual photon. A pair of the non-linear Schrodinger equations for electron-positron plasmas including the Darwin and annihilation interactions. Existence of conserving helicity in electron-positron quantum plasmas of spinning particles with the Darwin and annihilation interactions is demonstrated. We show that annihilation interaction plays an important role in quantum electron-positron plasmas giving contribution of the same magnitude as the spin-spin interaction.

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Lower hybrid wave instability in a spin‐polarized degenerate plasma

Iqbal

Khanum

Murtaza

2018

Contributions to Plasma Physics

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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...

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Circularly polarized modes in magnetized spin plasmas

Cited by 61 publications

References 30 publications

Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas

Lower hybrid wave instability in a spin‐polarized degenerate plasma

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