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-electronacoustic 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.

Nonlinear Coupling of Electromagnetic and Spin-Electron-Acoustic Waves in Spin-polarized Degenerate Relativistic Astrophysical Plasma

“…In order to study waves in the high-density degenerate spin-polarized plasmas we apply the separate spin evolution relativistic hydrodynamic model with the average reverse gamma factor evolution, which is developed in Ref. [13] as the generalization of Refs. [22], [23], [24], [25], [26].…”

“…We follow the results of Ref. [13] to present the equations of state, which are necessary to get the closed set of the relativistic hydrodynamic equations. Let us repeat the method of derivation of equations of state.…”

“…The equilibriums values of functions Γ 0s and t0s can be found from the corresponding equations of state ( 17) and ( 13), correspondingly. Next, the perturbations of δ ts can be also found from equation (13). We can make expansion of expression (13) on the perturbations of the concentration and take the linear on δn s part.…”

“…Next, the perturbations of δ ts can be also found from equation (13). We can make expansion of expression (13) on the perturbations of the concentration and take the linear on δn s part. Perturbations of relativistic gamma function δΓ s can be found from equation (26).…”

“…The partially spin polarized degenerate plasmas show existence of the spin-electron-acoustic waves [7], [8], [9], [10], [11], [12]. Particularly, the relativistic spin-electronacoustic waves are studied in high-density degenerate spin-polarized plasmas using the separate-spin-evolution relativistic hydrodynamic model with the average reverse gamma factor evolution [13]. This hydrodynamic model is partially based on the quantum hydrodynamic models [7], [14], [15], [16].…”