量子等离子体中波的色散关系以及朗道阻尼
Dispersion relation and Landau damping of linear waves in quantum plasma
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摘要: 利用动理学理论研究量子等离子体中波的色散关系和电子朗道阻尼.从电子的量子流体动力学方程和动理学描述下的光子运动方程出发,研究量子效应对光子朗道阻尼的修正.研究发现量子效应只对纵波模式,即电子等离子体波的色散关系有修正,对横向电磁波的色散关系没有影响.量子效应减小了朗道阻尼,起着朗道增长的作用.Abstract: The dispersion relation and Landau damping of electron plasma waves in the quantum plasma are derived by kinetic theory. Starting from the quantum hydrodynamic equation of electron and photon kinetic equation, photon Landau damping is discussed. Research indicates that quantum effects enlarge the frequency of electron plasma waves and do not change the dispersion of electromagnetic waves. It is also found that electron and photon Landau damping rates are both reduced by quantum effects, so the exchange of energy between particles and waves is retarded.
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