Spin magnetohydrodynamics

Abstract

Starting from the non-relativistic Pauli description of spin-1/2 particles, a set of fluid equations, governing the dynamics of such particles interacting with external fields and other particles, is derived. The equations describe electrons, positrons, holes, and similar conglomerates. In the case of electrons, the magnetohydrodynamic limit of an electron-ion plasma is investigated. The results should be of interest and relevance both to laboratory and astrophysical plasmas.

11 pages, minor typos corrected, to appear in New Journal of Physics

References in corpus (12)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Physics of Strongly Magnetized Neutron Stars
• Dynamics of spin 1/2 quantum plasmas
• Modified Zakharov equations for plasmas with a quantum correction
• Statistical Effects in the Multistream Model for Quantum Plasmas
• Classical and quantum kinetics of the Zakharov system
• Spin waves in a one-dimensional spinor Bose gas
• Nonlinear wave interactions in quantum magnetoplasmas
• Spin dynamics from time-dependent spin density-functional theory
• Quantum Electrodynamical Photon Splitting in Magnetized Nonlinear Pair Plasmas
• Spin-Dependent Cyclotron Decay Rates in Strong Magnetic Fields
• Spin dynamics of wave packets evolving with the Dirac Hamiltonian in atoms with high Z

Cited by in corpus (79)

• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Quantum plasma effects in the classical regime
• New Quantum Limits in Plasmonic Devices
• Magnetosonic solitons in a Fermionic quantum plasma
• Effects of the $g$-factor in semi-classical kinetic plasma theory
• Spin solitons in magnetized pair plasmas
• Quantum Vacuum Experiments Using High Intensity Lasers
• Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance
• Vortical Dynamics of spinning quantum plasmas - Helicity Conservation
• Ferromagnetic behavior in magnetized plasmas
• Modified Jeans Instability Criteria for Magnetized Systems
• Circularly polarized modes in magnetized spin plasmas
• Electron spin polarization in realistic trajectories around the magnetic node of two counter-propagating, circularly polarized, ultra-intense lasers
• Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
• 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
• Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction
• Short wavelength electromagnetic propagation in magnetized quantum plasmas
• On the rich eight branch spectrum of the oblique propagating longitudinal waves in partially spin polarized electron-positron-ion plasmas
• Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas
• Shukla-Eliasson Attractive Force: Revisited
• Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction
• Spin-one-half particles in strong electromagnetic fields: spin effects and radiation reaction
• Localized whistlers in magnetized spin quantum plasmas
• Spin-polarization effects of an ultrarelativistic electron beam in an ultraintense two-color laser pulse
• Quantum Weibel Instability
• Spin and magnetization effects in plasmas
• The Rayleigh-Taylor instability and internal waves in quantum plasmas
• Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation
• Generation of wakefields by whistlers in spin quantum magnetoplasmas
• Identifying the Stern-Gerlach force of classical electron dynamics
• Semiclassical Vlasov and fluid models for an electron gas with spin effects
• Exchange effects in magnetized quantum plasmas
• Quantized Plasmon Excitations of Electron Gas in Potential Well
• Macroscopic description for a quantum plasma micro-instability: the quantum Weibel solution
• Spin magnetosonic shocks in quantum plasmas
• Ferroplasmas: Magnetic Dust Dynamics in a Conducting Fluid
• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Double-layer shocks in a magnetized quantum plasma
• Nonlinear Saturation of the Weibel Instability in a Dense Fermi Plasma
• On the possibility of metamaterial properties in spin plasmas
• Quantum Hydrodynamics Approach to The Research of Quantum Effects and Vorticity Evolution in Spin Quantum Plasmas
• Multidimensional ion-acoustic solitary waves and shocks in quantum plasmas
• Remarkable paramagnetic features of Fermi-Dirac plasmas
• On the correspondence between quantum and classical variational principles
• The structure of weak shocks in quantum plasmas
• Waves of spin-current in magnetized dielectrics
• Drift wave turbulence in a dense semiclassical magnetoplasma
• Magnetohydrodynamic shocks in a dissipative quantum plasma with exchange-correlation effects
• Spin induced nonlinearities in the electron MHD regime
• Hot Fluids and Nonlinear Quantum Mechanics
• Spin kinetic theory - quantum kinetic theory in extended phase space
• Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part II: Dispersion dependencies
• Langmuir waves dispersion in semi-relativistic spinless quantum plasmas
• Spin current evolution in the separated spin-up and spin-down quantum hydrodynamics
• Quantum spirals
• Characteristics of Quantum Magnetosonic-Wave Dispersion
• Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
• Nonlinear wave interaction and spin models in the MHD regime
• Higher-order nonlinear electron-acoustic solitary excitations in partially degenerate quantum electron-ion plasmas
• Pseudo-Resonance and Energy Band Gap in Plasmonic Crystals
• A Scalar Wigner Theory for Polarized Light in Nonlinear Kerr Media
• Balance equations in semi-relativistic quantum hydrodynamics
• Spin paramagnetic deformation of a neutron star
• Soliton appearing in boson-fermion mixture at the third order of the interaction radius
• Extraordinary SEAWs under influence of the spin-spin interaction and the quantum Bohm potential
• Effect of Dynamic Ions on Band Structure of Plasmon Excitations
• Orbital Ferromagnetism and Quantum Collapse in Stellar Plasmas
• Normal Modes in Magnetized Two-Fluid Spin Quantum Plasmas
• Spin-induced localized density excitations in quantum plasmas
• Quantum collapse in ground-state Fermi-Dirac-Landau plasmas
• Resonant Electron-Plasmon Interactions in Drifting Electron Gas
• Heavy-Fermion Instability in Double-Degenerate Plasmas
• Exact Nonlinear Excitations in Double-Degenerate Plasmas
• Neutrino induced vorticity, Alfven waves and the normal modes
• Characteristics of Plasmon Transmittivity Over Potential Barriers
• Orbital Ferromagnetism and the Chandrasekhar Mass-Limit
• Hydrodynamics of quantum corrections to the Coulomb interaction via the third rank tensor evolution equation: Application to the Langmuir waves and the spin-electron-acoustic waves
• Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field