量子等离子体微观不稳定性的宏观描述:量子韦伯解
Macroscopic description for a quantum plasma micro-instability: the quantum Weibel solution
摘要:
在量子等离子体的情况下的韦伯不稳定性处理通过流体(时刻)的方法。宏观方程的量子修改,然后确定为第一类或第二类的影响。第一类量子效应对应于色散项,类似于等离子体量子流体力学方程中的玻姆势。第二类效应是由于载流子的费米统计,并可能成为强简并的主要影响。宏观色散关系比经典的韦伯不稳定性的高阶。这对应于截止波数的存在,即使对于强温度各向异性的情况下。
英文摘要:
The Weibel instability in the quantum plasma case is treated by means of a fluid-like (moments) approach. Quantum modifications to the macroscopic equations are then identified as effects of first or second kind. Quantum effects of the first kind correspond to a dispersive term, similar to the Bohm potential in the quantum hydrodynamic equations for plasmas. Effects of the second kind are due to the Fermi statistics of the charge carriers and can become the dominant influence for strong degeneracy. The macroscopic dispersion relations are of higher order than those for the classical Weibel instability. This corresponds to the presence of a cutoff wave-number even for the strong temperature anisotropy case.
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