Effect of magnetic field on the wave dispersion relation in three-dimensional dusty plasma crystals

2012 ◽  
Vol 19 (7) ◽  
pp. 073704 ◽  
Author(s):  
Xue-Feng Yang ◽  
Zheng-Xiong Wang
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Dusty Plasma ◽  
Three Dimensional ◽  
Wave Dispersion ◽  
Plasma Crystals

Kelvin-Helmholtz and Rayleigh-Taylor Instability of Two Superimposed Magnetized Fluids with Suspended Dust Particles

2009 ◽  
Vol 64 (7-8) ◽  
pp. 455-466 ◽  
Author(s):  
Ramprasad Prajapati ◽  
Raj Kamal Sanghvi ◽  
Rajendra Kumar Chhajlani ◽  
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Particle Density ◽  
Normal Mode Analysis ◽  
Three Dimensional ◽  
Mhd Equations ◽  
Mode Analysis ◽  
Dust Particles ◽  
Suspended Dust ◽  
The Magnetic Field

AbstractThe effect of a magnetic field and suspended dust particles on both the Kelvin-Helmholtz (K-H) and the Rayleigh-Taylor (R-T) instability of two superimposed streaming magnetized plasmas is investigated. The magnetized fluids are assumed to be incompressible and flowing on top of each other. The usual magnetohydrodynamic (MHD) equations are considered with suspended dust particles. The basic equations of the problem are linearized and the dispersion relation is obtained using normal mode analysis by applying the appropriate boundary conditions. The general dispersion relation is found to be modified due to the presence of the suspended dust particles and of the magnetic field. The effect of the magnetic field appears in the dispersion relation if three-dimensional perturbations of the system are considered. The general conditions of the K-H instability as well as the R-T instability are derived for the considered medium. The stability of the system for both cases is discussed by applying the Routh-Hurwitz criterion. Numerical analysis is performed to show the effect of various parameters on the growth rates of the K-H and R-T instabilities. Three different cases of the present configurations are considered and the conditions of instability are obtained. It is found that the conditions for the K-H and R-T instabilities depend on the magnetic field, on the suspended dust particles and on the relaxation frequency of the particles. The magnetic field and particle density have stabilizing influence, while the density difference between the fluids has a destabilizing influence on the growth rate of the K-H and R-T configurations.

scholarly journals Three-dimensional dusty plasma in a strong magnetic field: Observation of rotating dust tori

2020 ◽  
Vol 27 (6) ◽  
pp. 063701 ◽  
Author(s):  
Mangilal Choudhary ◽  
Roman Bergert ◽  
Slobodan Mitic ◽  
Markus H. Thoma
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Dusty Plasma ◽  
Field Observation ◽  
Three Dimensional

scholarly journals FERMI SURFACES OF CRYSTALS IN A HIGH MAGNETIC FIELD

2003 ◽  
Vol 02 (06) ◽  
pp. 603-610 ◽  
Author(s):  
J. BRÜNING ◽  
V. V. DEMIDOV ◽  
V. A. GEYLER
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Dispersion Relation ◽  
Potential Theory ◽  
Explicit Form ◽  
High Magnetic Field ◽  
Uniform Magnetic Field ◽  
Three Dimensional ◽  
Fermi Surfaces ◽  
Zero Range

A method of building and investigation of the Fermi surfaces for three-dimensional crystals subjected to a uniform magnetic field is presented. The Hamiltonian of a charged particle in the crystal is treated in the framework of the zero-range potential theory. The dispersion relation for the Hamiltonian is obtained in an explicit form.

Compressional magnetoacoustic waves in a quantum dusty magnetoplasma

2008 ◽  
Vol 74 (1) ◽  
pp. 107-110 ◽  
Author(s):  
P. K. SHUKLA
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Wave Dispersion ◽  
Spin Effect ◽  
Linear Dispersion ◽  
Linear Dispersion Relation ◽  
Bohm Potential ◽  
Magnetoacoustic Waves ◽  
External Magnetic Field Strength

AbstractThe linear dispersion relation for compressional magnetoacoustic waves in a quantum magnetoplasma is derived, taking into account the quantum Bohm potential and the magnetization of electrons due to the electron-1/2 spin effect. It is found that the quantum forces produce the wave dispersion at quantum scales, which depend on the external magnetic field strength.

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