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The Study of Thermal Conditions on Weibel Instability

机译:热条件对魏贝尔不稳定性的研究

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Weibel electromagnetic instability has been studied analytically in relativistic plasma with high parallel temperature, where|α=(mc2/T∥)(1+p^⊥2/m2c2)1/2|≪1and while the collision effects of electron-ion scattering have also been considered. According to these conditions, an analytical expression is derived for the growth rate of the Weibel instability for a limiting case of|ζ=α/2(ω′/ck)|≪1, whereω′is the sum of the wave frequency of instability and the collision frequency of electrons with background ions. The results show that in the limiting conditionα≪1there is an unusual situation of the Weibel instability so thatT∥≫T⊥, while in the classic Weibel instabilityT∥≪T⊥. The obtained results show that the growth rate of the Weibel instability will be decreased due to an increase in the number of collisions and a decrease in the anisotropic temperature by the increasing of plasma density, while the increase of the parameterγ^⊥=(1+p^⊥2/m2c2)1/2leads to the increase of the Weibel instability growth rate.
机译:在平行温度较高的相对论等离子体中,对| bel =(mc2 /T∥)(1 + p ^⊥2/ m2c2)1/2 | ≪1进行了解析分析,研究了Weibel电磁不稳定性,而电子离子散射的碰撞效应也已经考虑过了。根据这些条件,对于|ζ=α/ 2(ω'/ ck)| ≪1的极限情况,推导了Weibel不稳定性的增长率的解析表达式,其中ω'是不稳定性的波动频率之和以及电子与背景离子的碰撞频率。结果表明,在极限条件α≪1下,存在Weibel不稳定性的异常情况,即T∥≫T⊥,而在经典的Weibel不稳定性T∥≪T⊥中。所得结果表明,由于等离子体密度的增加,碰撞次数的增加和各向异性温度的降低,使Weibel不稳定性的增长速率降低,而参数γ^⊥=(1+ p ^⊥2/ m2c2)1/2导致Weibel不稳定增长率的增加。

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