Hashemzadeh M
Faculty of Physics, Shahrood University of Technology, Shahrood, Semnan Province, Iran.
Phys Rev E. 2020 Jan;101(1-1):013202. doi: 10.1103/PhysRevE.101.013202.
Discrete eigenmodes of the filamentation instability in a weakly ionized current-driven plasma in the presence of a q-nonextensive electron velocity distribution is investigated. Considering the kinetic theory, Bhatnagar-Gross-Krook collision model, and Lorentz transformation relations, the generalized longitudinal and transverse dielectric permittivities are obtained. Taking into account the long-wavelength limit and diffusion frequency limit, the dispersion relations are obtained. Using the approximation of geometrical optics and linear inhomogeneity of the plasma, the real and imaginary parts of the frequency are discussed in these limits. It is shown that in the long-wavelength limit, when the normalized electron velocity is increased the growth rate of the instability increases. However, when the collision frequency is increased the growth rate of the filamentation instability decreases. In the diffusion frequency limit, results indicate that the effects of the electron velocity and q-nonextensive parameter on the growth rate of the instability are similar. Finally, it is found that when the collision frequency is increased the growth rate of the instability increases in the presence of a q-nonextensive distribution.
研究了在存在q -非广延电子速度分布的弱电离电流驱动等离子体中丝状不稳定性的离散本征模。考虑动力学理论、 Bhatnagar - Gross - Krook碰撞模型和洛伦兹变换关系，得到了广义纵向和横向介电常数。考虑长波长极限和扩散频率极限，得到了色散关系。利用几何光学近似和等离子体的线性非均匀性，在这些极限下讨论了频率的实部和虚部。结果表明，在长波长极限下，当归一化电子速度增加时，不稳定性的增长率增加。然而，当碰撞频率增加时，丝状不稳定性的增长率降低。在扩散频率极限下，结果表明电子速度和q -非广延参数对不稳定性增长率的影响相似。最后发现，在存在q -非广延分布的情况下，当碰撞频率增加时，不稳定性的增长率增加。
