Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons

Abstract

High-density low-temperature plasmas with degenerate species are considered in the limit of high Fermi velocities close to the speed of light. The small amplitude ion-acoustic solitons are studied in this regime. Presented analysis is based on the relativistic hydrodynamic model with the average reverse gamma factor evolution consists of the equations for evolution of the following functions the concentration, the velocity field, the average reverse relativistic gamma factor, and the flux of the reverse relativistic gamma factor, which are considered as main hydrodynamic variables. Justification of the suggested model via comparison of the hydrodynamic results with the result of application of the relativistic Vlasov kinetic equation is made in the linear approximation.

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

“…which has rather traditional form, it is also corresponds to Refs. [35], [36], [37]. However, we consider the separate spin evolution, so we should present comparison with the separate spin evolution quantum hydrodynamics obtained from the Pauli equation [1], [2].…”

“…The second equation of evolution is the Euler equation is given which is the velocity field evolution equation [35], [36], [37]:…”

“…Equations ( 5)-( 8) are derived for the relativistically hot plasmas [36], [37]. Next, it is adopted for the degenerate electron gas [35]. Our goal here is further generalization of the hydrodynamic model with the average reverse gamma factor evolution to consider SEAW [1], [3], so we need to include the separate spin evolution to this model.…”

“…Here, we present the quasi-classic relativistic SSE-QHD. This model based on the transition of basic features quasi-classic SSE-QHD up on to classic relativistic hydrodynamic model with the average reverse gamma factor evolution, which is recently developed for the degenerate electron gas [35]. The degenerate relativistic hydrodynamic model with the average reverse gamma factor evolution [35] is the result of generalization of classic relativistic hydrodynamic model with the average reverse gamma factor evolution of the relativistically hot plasmas [36], [37], [38].…”

“…This model based on the transition of basic features quasi-classic SSE-QHD up on to classic relativistic hydrodynamic model with the average reverse gamma factor evolution, which is recently developed for the degenerate electron gas [35]. The degenerate relativistic hydrodynamic model with the average reverse gamma factor evolution [35] is the result of generalization of classic relativistic hydrodynamic model with the average reverse gamma factor evolution of the relativistically hot plasmas [36], [37], [38]. This model is applied to analysis of spectra of Langmuir, and electromagnetic waves in magnetized relativistic plasmas including the low frequency dynamics governed by ions [36], [39], [40], [41].…”