Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
arXiv:1406.6252 · doi:10.1016/j.aop.2015.07.004
Abstract
We consider quantum plasmas of electrons and motionless ions. We describe separate evolution of spin-up and spin-down electrons. We present corresponding set of quantum hydrodynamic equations. We assume that plasmas are placed in an uniform external magnetic field. We account different occupation of spin-up and spin-down quantum states in equilibrium degenerate plasmas. This effect is included via equations of state for pressure of each species of electrons. We study oblique propagation of longitudinal waves. We show that instead of two well-known waves (the Langmuir wave and the Trivelpiece--Gould wave), plasmas reveal four wave solutions. New solutions exist due to both the separate consideration of spin-up and spin-down electrons \textit{and} different occupation of spin-up and spin-down quantum states in equilibrium state of degenerate plasmas.
8 pages, 9 figures
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- Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
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- Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction
- Extraordinary SEAWs under influence of the spin-spin interaction and the quantum Bohm potential
- Electrostatic Langmuir and SEAWs in spin polarized plasma double layer
- Kinetic description of the oblique propagating spin-electron acoustic waves in degenerate plasmas
- 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