Anisotropic pressure effects in hydrodynamic description of waves propagating parallel to the magnetic field in relativistically hot plasmas

Abstract

The structure of novel hydrodynamic model of plasmas with the relativistic temperatures consisted of four equations for the material fields is presented for the regime of anisotropic pressure and other tensors describing the thermal effects. Presented model constructed of equation for evolution of the concentration, the velocity field, the average reverse relativistic γ functor, and the flux of the reverse relativistic γ functor, which are considered as main hydrodynamic variables. Four pressurelike tensors (two second rank tensors and one fourth rank tensor) describe the thermal effects. Among them we have the flux of the particle current and the current of the flux of the reverse relativistic γ functor. The high-frequency excitations are considered analytically in order to trace the contribution of the anisotropy of pressure-like tensors in their spectra.

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

“…where parameters Γ 0 , u 2 t , and u 2 p should be obtained from equations ( 14)- (20). However, they have different appearance.…”

“…where function Γ 0s is given by equation (20), and φ is the potential of the electric field E = −∇φ.…”

“…Novel model for the description of the relativistically hot plasmas is developed in Refs. [15], [16], [17], [18], [19], [20]. This model is based on the derivation of hydrodynamic equations directly from their microscopic motion described by the corresponding relativistic form of the second Newton's law as the equations of motion of each particle.…”

“…Next, its simplification is presented for the hydrodynamic modeling of the nonrelativistic plasmas [22], [23]. Finally, an original structure of the hydrodynamic model for the relativistic plasmas is derived using this method [15], [16], [17], [18], [19], [20].…”

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

“…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].…”