The effect of the Hall term on Jeans instability in quantum magnetoplasma with resistive effects

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3447871· OSTI ID:21378070

Zhengwei, Wu ^[1]; Haijun, Ren; Jintao, Cao ^[2]; Chu, Paul K ^[3]

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1. CAS Key Laboratory of Basic Plasma Physics, University of Science and Technology of China, Hefei 230026 (China); Department of Physics and Materials Science, City University of Hong Kong, Tat Chee Avenue, Kowloon (Hong Kong)
2. CAS Key Laboratory of Basic Plasma Physics, University of Science and Technology of China, Hefei 230026 (China)
3. Department of Physics and Materials Science, City University of Hong Kong, Tat Chee Avenue, Kowloon (Hong Kong)

The Jeans instability in dense quantum plasmas is investigated by taking into account the Hall term and resistivity in the presence of two-dimensional magnetic fields. The general dispersion relation is presented. The presence of the Hall term introduces a new wave mode which does not exist in the ideal magnetohydrodynamic framework. Two limiting cases with respect to the Hall effect are discussed. The Hall effect is shown to induce a frequency shift but does not change the instability criterion. The resistivity exhibits damping or destabilizing effects on the plasma system under different circumstances. The analytical expressions of the growth/damping rate of Jeans instability are obtained for both the finite and remarkable resistivity cases in the absence of the Hall term.

• OSTI ID: 21378070
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DAMPING
DISPERSION RELATIONS
FLUID MECHANICS
HALL EFFECT
HYDRODYNAMICS
INSTABILITY
INSTABILITY GROWTH RATES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICS
PLASMA
PLASMA INSTABILITY
QUANTUM PLASMA
TWO-DIMENSIONAL CALCULATIONS