Effect of tensor g-factor on the spectrum of eigen modes in magnetoactive plasma

2016

Physics of Plasmas

Separate spin evolution quantum hydrodynamics is generalized to include the Coulomb exchange interaction. The Coulomb exchange interaction is considered as the interaction between the spindown electrons being in the quantum states occupied by one electron, giving main contribution in the equilibrium. The generalized model is applied to study the non-linear spin-electron acoustic waves. Existence of the spin-electron acoustic soliton is demonstrated. Contributions of the concentration, spin polarization, and exchange interaction in the properties of the spin electron acoustic soliton are studied.

Section: Introductionmentioning

confidence: 99%

Spin-electron acoustic soliton and exchange interaction in separate spin evolution quantum plasmas

2016

Physics of Plasmas

“…Similarly to the three dimensional spectrum (see formula (20)) different terms in formula (27) have the following meaning: self-consistent Coulomb interaction, the exchange Coulomb interaction, the Fermi pressure, and the quantum Bohm potential.…”

Section: A Three Dimensional Quantum Plasmasmentioning

confidence: 99%

“…Effect of tensor g-factor on the spectrum of eigen modes in spin-1/2 quantum plasmas was considered by Vagin et al (see Ref. [20]). …”

Section: Introductionmentioning

confidence: 99%

Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

2014

Annals of Physics

We describe quantum hydrodynamic equations with the Coulomb exchange interaction for three and two dimensional plasmas. Explicit form of the force densities are derived. We present non-linear Schrodinger equations (NLSEs) for the Coulomb quantum plasmas with the exchange interaction. We show contribution of the exchange interaction in the dispersion of the Langmuir, and ionacoustic waves. We consider influence of the spin polarization ratio on strength of the Coulomb exchange interaction. This is important since exchange interaction between particles with same spin direction and particles with opposite spin directions are different. At small particle concentrations n0 ≪ 10 25 cm −3 and small polarization the exchange interaction gives small decrease of the Fermi pressure. With increasing of polarization role of the exchange interaction becomes more important, so that it can overcome the Fermi pressure. The exchange interaction also decreases contribution of the Langmuir frequency. Ion-acoustic waves do not exist in limit of large polarization since the exchange interaction changes the sign of pressure. At large particle concentrations n0 ≫ 10 25 cm −3 the Fermi pressure prevails over the exchange interaction for all polarizations. Similar picture we obtain for two dimensional quantum plasmas.

“…Particularly it supports propagation of new type of excitations [57], [58], [59], where spin dynamics are involved in evolution of electromagnetic perturbations. So we can call them spin-electromagnetic plasma waves.…”

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.