Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas

Abstract

The spin-electron-acoustic waves (sometimes called the spin-plasmons) can be found in degenerate electron gas if the spin-up electrons and spin down electrons move relatively each other. Here, we suggest relativistic hydrodynamics with the separate spin evolution which allows us to study linear and nonlinear spin-electron-acoustic waves, including the spin-electron-acoustic solitons. Presented hydrodynamic model is the corresponding generalization of the relativistic hydrodynamic model with the average reverse gamma factor evolution which consists of the equations for evolution of the following functions the partial concentrations (for spin-up electrons and spin down electrons), the partial velocity fields, the partial average reverse relativistic gamma factors, and the partial flux of the reverse relativistic gamma factors. We find that the relativistic effects decreases the phase velocity of spin-electron-acoustic waves. Numerical analysis of the changes of spectra of Langmuir wave, spin-electron-acoustic wave, and ion-acoustic wave under the change of the spin polarization of electrons is presented. It is demonstrated that spectra of Langmuir wave and spin-electron-acoustic wave getting closer to each other in the relativistic limit. Spin dependence of the amplitude and width of the relativistic spin-electron-acoustic soliton is demonstrated as well. Reformation of the bright soliton of potential of the electric field into the dark soliton under the influence of the relativistic effects is found.

13 pages, 8 figures

References in corpus (19)

• Dynamics of spin 1/2 quantum plasmas
• Spin magnetohydrodynamics
• Quantum plasma effects in the classical regime
• Effects of the $g$-factor in semi-classical kinetic plasma theory
• Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance
• Long-lived spin plasmons in a spin-polarized two-dimensional electron gas
• Spin polarized two-dimensional electron gas embedded in semimagnetic quantum well : ground state, spin responses, spin excitations, Raman spectrum
• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part I: Dielectric permeability tensor for magnetized plasmas
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• Nonlinear Coupling of Electromagnetic and Electron Acoustic Waves in Multi-Species Degenerate Astrophysical Plasma
• Gravitational electromotive force in magnetic reconnection around Schwarzschild black holes
• Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part II: Dispersion dependencies
• Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
• On the structure of relativistic hydrodynamics for hot plasmas
• Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons
• On the interaction constant measurement of polarized fermions via sound wave spectra obtained from hydrodynamics with the pressure evolution equation
• Microscopic model for relativistic hydrodynamics of ideal plasmas
• A hydrodynamic model of Alfvenic waves and fast magneto-sound in the relativistically hot plasmas at propagation parallel to the magnetic field

Cited by in corpus (3)

• Nonlinear Coupling of Electromagnetic and Spin-Electron-Acoustic Waves in Spin-polarized Degenerate Relativistic Astrophysical Plasma
• Microscopic model for relativistic hydrodynamics of ideal plasmas
• Waves propagating parallel to the magnetic field in relativistically hot plasmas: A hydrodynamic model