Parallel propagating electromagnetic waves in magnetized quantum electron plasmas

2019 ◽  
Vol 26 (4) ◽  
pp. 042103 ◽  
Author(s):  
C. H. Woo ◽  
M. H. Woo ◽  
Cheong R. Choi ◽  
K. W. Min
1971 ◽  
Vol 6 (3) ◽  
pp. 449-456 ◽  
Author(s):  
Kai Fong Lee

The instability of right-handed, circularly polarized electromagnetic waves, propagating along an external magnetic field (whistler mode), is studied for electron plasmas with distribution functions peaked at some non-zero value of the transverse velocity. Based on the linearized Vlasov-Maxwell equations, the criteria for instability are given both for non-resonant instabilities arising from distribution functions with no thermal spread parallel to the magnetic field, and for resonant instabilities arising from distribution functions with Maxwellian dependence in the parallel velocities. It is found that, in general, the higher the average perpendicular energy, the more is the plasma susceptible to the whistler instability. These criteria are then applied to a sharply peaked ring distribution, and to loss-cone distributions of the Dory, Guest & Harris (1965) type.


2011 ◽  
Vol 66 (12) ◽  
pp. 769-773
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung

We show the existence of new localized nonlinear structures for the electrostatic potential and the electron density in the form of bright and W-shaped solitons in quantum electron plasmas, respectively, which is modelled by the coupled nonlinear Schrödinger-Poisson equations. The robustness and the conservation of the energy of the solitons are demonstrated by numerical simulations. The sensitivity of the coupling constant on the stability of the paired solitons in the quantum electron plasmas are investigated.


2010 ◽  
Vol 374 (45) ◽  
pp. 4599-4601 ◽  
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung

2009 ◽  
Vol 23 (11) ◽  
pp. 2439-2447
Author(s):  
XUGUANG SHI ◽  
YISHI DUAN

The topological properties of quantum electron plasmas in three-dimensional space are presented. Starting from ϕ-mapping topological current theory, the vortex lines are just at the core of wave function obtained. It is shown that the vorticity of the vortex can be expressed by the Hopf index and the Brouwer degree. We find that the vortex lines are unstable in some conditions and the evolution of vortex lines at the bifurcation points is given.


2015 ◽  
Vol 26 (05) ◽  
pp. 1550058 ◽  
Author(s):  
Mahdi Momeni

The linear and nonlinear properties of the electromagnetic waves are investigated in a magnetized quantum electron–positron (e–p) plasma by employing the quantum hydrodynamic (QHD) model. It is found that the quantum dispersion relation in comparison with the classical version is modified by the quantum corrections through quantum diffraction and statistics. The standard reductive perturbation technique is used to derive the Korteweg–de Vries (KdV) equation. The exact soliton solutions and the existence regions of the solitary waves are also defined precisely. It is also shown that the results are affected by the quantum corrections.


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