Gravitational instability of partially-ionized plasma carrying a uniform magnetic field with Hall effect

1990 ◽  
Vol 174 (2) ◽  
pp. 211-216 ◽  
Author(s):  
Nagendra Kumar ◽  
Krishna M. Srivastava
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Uniform Magnetic Field ◽  
Gravitational Instability ◽  
Partially Ionized

Gravitational instability of a rotating partially-ionized plasma carrying a uniform magnetic field with hall effect

1993 ◽  
Vol 199 (2) ◽  
pp. 323-331 ◽  
Author(s):  
Vinod Kumar ◽  
Nagendra Kumar ◽  
Krishna M. Srivastava ◽  
R. C. Mittal
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Uniform Magnetic Field ◽  
Gravitational Instability ◽  
Partially Ionized

Performance investigation of a high-temperature and power Hall-effect electric propulsion

2019 ◽  
Vol 85 (6) ◽  
Author(s):  
Lai Li ◽  
Xi Lu ◽  
Wei Wang ◽  
Guiping Zhu ◽  
Hulin Huang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Hall Effect ◽  
Lorentz Force ◽  
Electric Propulsion ◽  
Uniform Magnetic Field ◽  
Computational Analysis ◽  
External Potential ◽  
Gas Temperature ◽  
The Magnetic Field

This paper discusses a detailed computational analysis that illustrated the influences of the magnetic field and external potential on the performance of a high-temperature Hall-effect electric thruster. Uniform and non-uniform magnetic field configurations were examined. The Lorentz force in the $x$ direction, acting on the plasma, was shown to substantially enhance the flow velocity in the non-uniform magnetic field, which indicated that the non-uniform magnetic field was more suitable for Hall-effect electromagnetic acceleration. The static temperature increased with the external potential, especially near the region of cathode. This increment in gas temperature, together with the effect of the Lorentz force, results in the enhancement of the velocity at the front and back of the cathode. However, the Mach number and gas density decreased due to static temperature increases caused by the conversion of more electric power into internal energy. The thrust increased eventually with the increase of the average exit velocity.

Squeezing Transformation for Dynamics of An Electron in Uniform Magnetic Field and a Harmonic Potential

1997 ◽  
Vol 11 (06) ◽  
pp. 239-244 ◽  
Author(s):  
Hong-Yi Fan ◽  
Yan Zhang
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Uniform Magnetic Field ◽  
Cyclotron Frequency ◽  
Quantum Hall ◽  
Wave Functions ◽  
Harmonic Potential

By virtue of the <λ| representation (Hong-yi Fan and Yong Ren, Mod. Phys. Lett.B10, 523 (1996)), which is useful for studying quantum Hall effect, we reveal that a squeezing mechanism directly corresponding to the variation of electron's cyclotron frequency is involved in the dynamics of an electron in a uniform magnetic field and a harmonic potential. Electron's wave functions are also derived by the squeezing transformation in the <λ| representation.

A USEFUL REPRESENTATION FOR STUDYING QUANTUM HALL EFFECT

1996 ◽  
Vol 10 (12) ◽  
pp. 523-529 ◽  
Author(s):  
HONG-YI FAN ◽  
YONG REN
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Uniform Magnetic Field ◽  
Quantum Hall ◽  
Algebraic Approach ◽  
Wave Functions

We show that the complete and orthonormal representation 〈λ|, which is constructed in terms of guiding centers and canonical momenta for describing the coordinate of an electron in a uniform magnetic field, provides us with a direct algebraic approach to deriving the correct wave functions for studying quantum Hall effect. The squeezing transformation for electron’s motion radius in the 〈λ| representation is also discussed, normally ordered squeezing operators are derived by virtue of the technique of integration within an ordered product of operators.

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