Untitled

Kuz'menkov

2012

Int. J. Mod. Phys. B

117

This paper is devoted to studying of dispersion of waves in the magnetized plasma with the spin and exploring of new methods of the generation wave in the plasma. We consider the dispersion of waves, existed in the plasma in consequence of dynamic of the magnetic moments. It is shown there are nine new waves in the magnetized plasma because of the magnetic moments dynamic. We show there are instabilities at propagation of the neutron beam through the plasma. Increments of instabilities caused by neutron beam are calculated. For studying of this effects we generalize and use the method of the many-particle quantum hydrodynamics. Described processes can play important role at calculation of the stability and the safeness of the nuclear reactors and the studying of the processes in the atmosphere of the neutron stars.

“…Contribution of the semi-relativistic effects was studied there. Another examples of derivation of the quantum kinetic equation are considered in Ref.s [16,17].…”

Section: Introductionmentioning

confidence: 99%

Waves of Magnetic Moment and Generation of Waves by Neutron Beam in Quantum Magnetized Plasma

Kuz'menkov

2012

Int. J. Mod. Phys. B

117

“…This kinetics is derived by means the method, which directly follows from general conception of many-particle hydrodynamics [68], [69]. Different approaches to quantum kinetics are presented in literature [29], [70], [71], [72], [73]. Recent application of Wigner kinetics have been also presented in literature [74], [75], [76].…”

Section: Further Generalization Of Quantum Hydrodynamics Of Electmentioning

confidence: 99%

“…Different approaches to quantum kinetics are presented in literature [29], [70], [71], [72], [73]. Recent application of Wigner kinetics have been also presented in literature [74], [75], [76].…”

Section: Further Generalization Of Quantum Hydrodynamics Of Electron-...mentioning

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

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.

“…Thus, we have to consider the magnetic field created by the magnetic moments. Basic Hamiltonian (13) does not contain the magnetic field created by the magnetic moments explicitly. Only trace of the internal magnetic field is the Green function of the spin-spin interaction.…”

Section: Dispersion Of Waves In Two Dimensional System Of Spinning Pa...mentioning

confidence: 99%

“…This description is based on the Wigner's theory [12]. There are other assumptions for quantum kinetics along with the Wigner's treatment [8], [13], [14], [15], [16].…”

Section: Introductionmentioning

confidence: 99%

Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion

Physica A: Statistical Mechanics and its Applications

2015

Plasma physics give an example of physical system of particles with the long range interaction. At small velocity of particles we can consider the plasma approximately as a system of particles with the Coulomb interaction. The Coulomb interaction is isotropic. Systems of spinning neutral particles have long-range anisotropic interparticle interaction. So, they can reveal more reach properties than plasma. Furthermore for studying of systems of spinning particles we can develop kinetic and hydrodynamic methods analogous to used for the plasma. We derive kinetic equations by a new method, which is the generalization of the many-particle quantum hydrodynamics. Obtained set of kinetic equations is truncated, so we have closed set of two equations. One of them is the kinetic equation for quantum distribution function. The second equation is the equation for the spin-distribution. Which describes the spin kinetic evolution and gives contribution in time evolution of the distribution function. Our method allows to obtain equations as for three dimensional system of particles and for low dimensional systems. So, we consider spin waves in three-and two dimensional systems of neutral spinning particles.