Dispersion relation and Landau damping of waves in high-energy density plasmas

2017

Physics of Plasmas

The dielectric permeability tensor for spin polarized plasmas is derived in terms of the spin-1/2 quantum kinetic model in six-dimensional phase space. Expressions for the distribution function and spin distribution function are derived in linear approximations on the path of dielectric permeability tensor derivation. The dielectric permeability tensor is derived the spin-polarized degenerate electron gas. It is also discussed at the finite temperature regime, where the equilibrium distribution function is presented by the spin-polarized Fermi-Dirac distribution. Consideration of the spin-polarized equilibrium states opens possibilities for the kinetic modeling of the thermal spin current contribution in the plasma dynamics.

Section: Introductionmentioning

confidence: 99%

Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma. I. Dielectric permeability tensor for magnetized plasmas

2017

Physics of Plasmas

“…Comparing formula (17) with results of Refs. [36], [37], [38] we see that simultaneous application of Wigner function and the Dirac and Klein-Gordon equations for getting of quantum kinetics and spectrum of waves in plasmas does not lead to account of the radiative corrections. For classic plasmas being in an external magnetic field, the external magnetic field does not change the spectrum of the Langmuir waves propagating parallel to the external magnetic field.…”

Section: Dispersion Of High Frequency Longitudinal Waves In Magnmentioning

confidence: 94%

Radiative corrections to the Coulomb law and model of dense quantum plasmas: Dispersion of longitudinal waves in magnetized quantum plasmas

2018

Physics of Plasmas

Two kinds of the quantum electrodynamic radiative corrections to electromagnetic interaction and their influence on properties of highly dense quantum plasmas are considered. Linear radiative correction to the Coulomb interaction are considered. Its contribution in the spectrum of the Langmuir waves is presented. The second kind of the radiative corrections is related to nonlinearity of the Maxwell equations for strong electromagnetic field. Its contribution in spectrum of transverse waves of magnetized plasmas is briefly discussed. At consideration of the Langmuir wave spectrum we included effect of different distribution of the spin-up and spin-down electrons revealing in a shift of the Fermi pressure.

“…The "fluidization" of Dirac equation, via the construction of observables from bilinear covariants, was first done by Takabayasi [20] and nicely reviewed in [21]. A quantum relativistic Vlasov equation was derived from the single particle Klein-Fock-Gordon [23] equation and the single particle Dirac [22] equation. It was applied to the calculation of the spectrum of collective excitations (the Langmuir and electromagnetic waves) in quantum-relativistic unmagnetized plasmas.…”

Section: Introductionmentioning

confidence: 99%

Separated spin evolution quantum hydrodynamics of degenerate electrons with spin–orbit interaction and extraordinary wave spectrum

Trukhanova

2018

J. Plasma Phys.

To consider a contribution of the spin-orbit interaction in the extraordinary wave spectrum we derive a generalization of the separate spin evolution quantum hydrodynamics. Applying corresponding nonlinear Pauli equation we include Fermi spin current contribution in the spin evolution. We find that the spectrum of extraordinary waves consists of three branches: two of them are wellknown extraordinary waves and the third one is the spin-electron acoustic wave (SEAW). Earlier SEAWs have been considered in the electrostatic limit. Here we include the electromagnetic effects in their spectrum at the propagation perpendicular to the external magnetic field. We find that the SEAW spectrum considerably changes at the account of transverse part of electric field. We obtain that the separate spin evolution modifies spectrum of the well-known extraordinary waves either. A change of the extraordinary wave spectrum due to the spin-orbit interaction is obtained as well.