Spin-electromagnetic hydrodynamics and magnetization induced by spin-magnetic interaction

2015

Physics of Plasmas

We discuss complete theory of spin-1/2 electron-positron quantum plasmas, when electrons and positrons move with velocities mach smaller than the speed of light. We derive a set of two fluid quantum hydrodynamic equations consisting of the continuity, Euler, spin (magnetic moment) evolution equations for each species. We explicitly include the Coulomb, spin-spin, Darwin and annihilation interactions. The annihilation interaction is the main topic of the paper. We consider contribution of the annihilation interaction in the quantum hydrodynamic equations and in spectrum of waves in magnetized electron-positron plasmas. We consider propagation of waves parallel and perpendicular to an external magnetic field. We also consider oblique propagation of longitudinal waves. We derive set of quantum kinetic equations for electron-positron plasmas with the Darwin and annihilation interactions. We apply the kinetic theory for the linear wave behavior in absence of external fields. We calculate contribution of the Darwin and annihilation interactions in the Landau damping of the Langmuir waves. We should mention that the annihilation interaction does not change number of particles in the system. It does not related to annihilation itself, but it exists as a result of interaction of an electron-positron pair via conversion of the pair into virtual photon. A pair of the non-linear Schrodinger equations for electron-positron plasmas including the Darwin and annihilation interactions. Existence of conserving helicity in electron-positron quantum plasmas of spinning particles with the Darwin and annihilation interactions is demonstrated. We show that annihilation interaction plays an important role in quantum electron-positron plasmas giving contribution of the same magnitude as the spin-spin interaction.

“…One more method of QHD derivation has been suggested recently [63]. This method also gives full chain of hydrodynamic equations.…”

Section: B Magnetic Moment (Spin) Evolutionmentioning

confidence: 99%

“…Particularly, in Ref. [63] author discuss derivation the energy density, the positivity of the entropy production is used in the derivation…”

Section: B Magnetic Moment (Spin) Evolutionmentioning

confidence: 99%

Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas

2015

Physics of Plasmas

“…One more method of QHD derivation has been suggested recently [77]. This method also gives full chain of hydrodynamic equations.…”

Section: Introductionmentioning

confidence: 99%

“…Particularly, in Ref. [77] author discuss derivation the energy density, the positivity of the entropy production is used in the derivation and hence the viscous tensors and the heat current are obtained applying the linear irreversible thermodynamics to construct a hydrodynamic model with spin. The method suggested by T. Koide allows to obtain full chain of hydrodynamic equation for quantum mediums as we do it in the many-particle QHD.…”

Section: Introductionmentioning

confidence: 99%

Balance equations in semi-relativistic quantum hydrodynamics

Ivanov

Kuz'menkov

2014

Int. J. Mod. Phys. B

Аннотация. Method of the quantum hydrodynamics has been applied in quantum plasmas studies. As the first step in our consideration, derivation of classical semi-relativistic (i. e. described by the Darwin Lagrangian on microscopic level) hydrodynamical equations is given after a brief review of method development. It provides better distinguishing between classic and quantum semi-relativistic effects. Derivation of the classical equations is interesting since it is made by a natural, but not very widespread method. This derivation contains explicit averaging of the microscopic dynamics. Derivation of corresponding quantum hydrodynamic equations is presented further. Equations are obtained in the five-momentum approximation including the continuity equation, Euler and energy balance equations. It is shown that relativistic corrections lead to presence of new quantum terms in expressions for a force field, a work field etc. The semi-relativistic generalization of the quantum Bohm potential is obtained. Quantum part of the energy current, which is an analog of the quantum Bohm potential for the energy evolution equation, is derived. The Langmuir wave dispersion in semi-relativistic quantum plasmas, corresponding to the Darwin Lagrangian, is also considered to demonstrate contribution of semi-relativistic effects on basic plasma phenomenon.

“…The spin-orbital corrections to the propagation of the whistler waves in a astrophysical quantum magnetoplasma composed by mobile ions and electrons had been predicted in [17]. The hydrodynamic model including the spin degree of freedom and the electromagnetic field had been discussed in [18]. The quantum hydrodynamics for the research of many-particles systems had been developed in [3], [19], [20].…”

Section: Introductionmentioning

confidence: 99%

Exchange interaction effects on waves in magnetized quantum plasmas

Trukhanova

2015

Physics of Plasmas

We apply the many-particle quantum hydrodynamics including the Coulomb exchange interaction to magnetized quantum plasmas. We consider a number of wave phenomenon under influence of the Coulomb exchange interaction. Since the Coulomb exchange interaction affects longitudinal and transverse-longitudinal waves we focus our attention to the Langmuir waves, Trivelpiece-Gould waves, ion-acoustic waves in non-isothermal magnetized plasmas, the dispersion of the longitudinal low-frequency ion-acoustic waves and low-frequencies electromagnetic waves at Te Ti . We obtained the numerical simulation of the dispersion properties of different types of waves.