Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

Andreev, Pavel A.

doi:10.1016/j.aop.2014.07.019

Cited by 58 publications

(82 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effect of spin polarization on the Fermi pressure has been considered in literature in the application to the wave phenomena in the single fluid model of electrons [27], [42] and the two-fluid model [5], [7], [8].…”

mentioning

confidence: 99%

See 1 more Smart Citation

Surface spin-electron acoustic waves in magnetically ordered metals

Andreev

Kuz'menkov

2016

Applied Physics Letters

Self Cite

View full text Add to dashboard Cite

Degenerate plasmas with motionless ions show existence of three surface waves: the Langmuir wave, the electromagnetic wave, and the zeroth sound. Applying the separated spin evolution quantum hydrodynamics to half-space plasma we demonstrate the existence of the surface spin-electron acoustic wave (SSEAW). We study dispersion of the SSEAW. We show that there is hybridization between the surface Langmuir wave and the SSEAW at rather small spin polarization. In the hybridization area the dispersion branches are located close to each other. In this area there is a strong interaction between these waves leading to the energy exchange. Consequently, generating the Langmuir waves with the frequencies close to hybridization area we can generate the SSEAWs. Thus, we report a method of creation of the SEAWs.

show abstract

mentioning

confidence: 99%

“…The spin polarization increases the Fermi pressure contributing as [5], [27], [42]), where P F e = (3π 2 ) 2/3 n 5/3 0h 2 /5m is the Fermi pressure at the zero spin polarization. At the full spin polarization P pol increases up to 1.6 · P F e .…”

mentioning

confidence: 99%

Surface spin-electron acoustic waves in magnetically ordered metals

Andreev

Kuz'menkov

2016

Applied Physics Letters

Self Cite

View full text Add to dashboard Cite

show abstract

“…Their relative behavior can be described by the following dimensionless parameter: Λ = h 2 me 2 √ n 0e [28]. More precisely, the Fermi pressure is larger then the Coulomb exchange interaction if the concentrations of electrons satisfy the following condition (25) for regimes of two different spin polarizations at the same concentrations and external magnetic field.…”

Section: Single Fluid Model Of Electrons and Extraordinary Wave Dmentioning

confidence: 99%

“…Thus, we find the dispersion dependence for the longitudinal waves in 2DEG in the single fluid model of electrons (see for instance [28])…”

Section: Single Fluid Model Of Electrons and Extraordinary Wave Dmentioning

confidence: 99%

“…We need to substitute it in the similar way by the exchange interaction in two-dimensional electron gas in accordance with Refs. [27], [28]. We also use the full integral Maxwell equations for the expressions of the electric and magnetic fields to consider the contribution of the transverse electric field in the waves in magnetized spin-polarized electron gas.…”

Section: Modelmentioning

confidence: 99%

See 1 more Smart Citation

Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction

Andreev

2017

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

Hydrodynamics analysis of waves in two-dimensional degenerate electron gas with the account of separate spin evolution is presented. The transverse electric field is included along with the longitudinal electric field. The Coulomb exchange interaction is included in the analysis. In contrast with the three-dimensional plasma-like mediums the contribution of the transverse electric field is small. We show the decrease of frequency of both the extraordinary (Langmuir) wave and the spinelectron acoustic wave due to the exchange interaction. Moreover, spin-electron acoustic wave has negative dispersion at the relatively large spin-polarization. Corresponding dispersion dependencies are presented and analyzed.

show abstract

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

Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

Cited by 58 publications

References 76 publications

Surface spin-electron acoustic waves in magnetically ordered metals

Surface spin-electron acoustic waves in magnetically ordered metals

Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction

Lower hybrid wave instability in a spin‐polarized degenerate plasma

Contact Info

Product

Resources

About