等离子体平面丝不稳定性和Alfven波
Plasma planar filament instability and Alfven waves
摘要：
利用经典曲线微分几何方法研究了非均匀等离子体细丝的不稳定性，其中曲线的运动完全由Frenet挠率和曲率描述。在我们的例子中，考虑到等离子体的不均匀性，Frenet坐标系随时间变化，也取决于其他坐标。将常用于描述宇宙学微扰的指数微扰方法应用于磁流体力学（MHD）等离子体方程，以寻找描述Alfven波的纵模和描述等离子体波在介质中的传播模式。在复频率$ω$或$Im(ω)\ne{0}$的频谱的虚轴中研究稳定性。
英文摘要：
Inhomogeneous plasmas filaments instabilities are investigated by using the techniques of classical differential geometry of curves where Frenet torsion and curvature describe completely the motion of curves. In our case the Frenet frame changes in time and also depends upon the other coordinates taking into account the inhomogeneity of the plasma. The exponential perturbation method so commonly used to describe cosmological perturbatons is applied to magnetohydrodynamic (MHD) plasma equations to find longitudinal modes describing Alfven waves propagation modes describing plasma waves in the medium. Stability is investigated in the imaginary axis of the spectra of complex frequencies $ω$ or $Im(ω)\ne{0}$.
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