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

Abstract

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.

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

“…Same result is demonstrated in Ref. [43] by equation (23), but it is written in another identical form. However, this general form does not allow to solve any problem, since it is not written via the hydrodynamic variables.…”

“…Mostly, the bulk SEAWs are studied in the plasmas [13], [21], [22], [23], [24]. Besides, the surface SEAWs [25] and the SEAWs in 2DEGs [14] are studied.…”

Quantum kinetic theory of plasmas

“…A related phenomenon, also dependent on the antisymmetry of the many-body wave-function of electrons, but considerably more complicated to model mathematically, is the exchange interaction (Crouseilles et al 2008;Haas 2021;Andreev 2014;Zamanian et al 2013Ekman et al 2015;, whose importance probably has been undervalued in the recent plasma research literature. Upgrading from the Schrödinger Hamiltonian to the Pauli Hamiltonian, the spin dynamics enter the picture (Hurst et al 2014;Brodin et al 2008;Andreev 2016Andreev , 2018Andreev and Kuzmenkov 2017;Andreev 2017), with physics such as the magnetic dipole force, spin precession, and (spin) magnetization currents. Extending the models to cover the weakly relativistic regime (Asenjo et al 2012;Hurst et al 2017;Ekman et al 2021), spin-orbit interaction, Thomas precession, and a spin-dependent polarization current are new features of the theory.…”

Quantum Kinetic Theory of Plasmas

“…A related phenomena, also dependent on the antisymmetry of the manybody wavefunction of electrons, but considerably more complicated to model mathematically, is the exchange interaction [12][13][14][15][16][17][18], whose importance probably has been undervalued in the recent plasma research literature. Upgrading from the Schrödinger Hamiltonian to the Pauli-Hamiltonian, the spin dynamics enter the picture [19][20][21][22][23][24][25], with physics such as the magnetic dipole force, spin precession, and (spin) magnetization currents. Extending the models to cover the weakly relativistic regime [26][27][28], spin-orbit interaction, Thomas precession and a spin-dependent polarization current are new features of the theory.…”