Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
arXiv:1404.4899 · doi:10.1063/1.4922662
Abstract
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.
arXiv comment21 pages, 13 figures
References in corpus (39)
- Physics of Strongly Magnetized Neutron Stars
- Nonlinear aspects of quantum plasma physics
- Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
- Dynamics of spin 1/2 quantum plasmas
- Spin magnetohydrodynamics
- Quantum plasma effects in the classical regime
- Photon Splitting and Pair Creation in Highly Magnetized Pulsars
- Effects of the -factor in semi-classical kinetic plasma theory
- Spin solitons in magnetized pair plasmas
- Plasma Physics of Extreme Astrophysical Environments
- Scalar quantum kinetic theory for spin-1/2 particles: mean field theory
- Spin contribution to the ponderomotive force in a plasma
- Semi-relativistic effects in spin-1/2 quantum plasmas
- Vortical Dynamics of spinning quantum plasmas - Helicity Conservation
- Quantum Electrodynamical Photon Splitting in Magnetized Nonlinear Pair Plasmas
- On "Novel attractive forces" between ions in quantum plasmas -- failure of linearized quantum hydrodynamics
- Thermal-inertial effects on magnetic reconnection in relativistic pair plasmas
- Circularly polarized modes in magnetized spin plasmas
- A quantum hydrodynamics approach to the formation of new types of waves in polarized two-dimension systems of charged and neutral particles
- Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D mediums
- Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas
- Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction
- From extended phase space dynamics to fluid theory
- Exchange effects in plasmas: the case of low-frequency dynamics
- Waves of magnetic moment and generation of waves by neutron beam in quantum magnetized plasma
- New Longitudinal Waves in Electron-Positron-Ion Quantum Plasmas
- Semiclassical Vlasov and fluid models for an electron gas with spin effects
- Exchange effects in magnetized quantum plasmas
- Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion
- Electromagnetic fluctuations and normal modes of a drifting relativistic plasma
- Quantum Hydrodynamics Approach to The Research of Quantum Effects and Vorticity Evolution in Spin Quantum Plasmas
- Ion sound and dust acoustic waves at finite size of plasma particles
- Waves of spin-current in magnetized dielectrics
- Exact analytical soliton solutions in dipolar BEC
- Hot Fluids and Nonlinear Quantum Mechanics
- Gauge-Free Hamiltonian Structure of the Spin Maxwell-Vlasov Equations
- Comment on "Spin-Gradient-Driven Light Amplification in a Quantum Plasma"
- Balance equations in semi-relativistic quantum hydrodynamics
- Dispersion properties of transverse waves propagating in the electrically polarized BECs
Cited by in corpus (8)
- Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction
- On the rich eight branch spectrum of the oblique propagating longitudinal waves in partially spin polarized electron-positron-ion plasmas
- Spin-electron acoustic waves: The Landau damping and ion contribution in the spectrum
- Quantum kinetic theories in degenerate plasmas
- Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
- Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
- NLSE for quantum plasmas with the radiation damping
- Analytical Properties of Linear Electrostatic Waves in Two-Component Quantum and Classical Plasmas