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首页> 外文期刊>Physics of plasmas >General formulation for magnetohydrodynamic wave propagation, fire-hose, and mirror instabilities in Harris-type current sheets
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General formulation for magnetohydrodynamic wave propagation, fire-hose, and mirror instabilities in Harris-type current sheets

机译：哈里斯型电流板中磁流体动力波传播，火管和镜面不稳定性的一般公式

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摘要

Harris-type current sheets with the magnetic field model of B ? = B x (z) x + B y (z) y have many important applications to space, astrophysical, and laboratory plasmas for which the temperature or pressure usually exhibits the gyrotropic form of p ? = p ∥ bb + p (I ? - bb). Here, p ∥ and p are, respectively, to be the pressure component along and perpendicular to the local magnetic field, b= B → / B. This study presents the general formulation for magnetohydrodynamic (MHD) wave propagation, fire-hose, and mirror instabilities in general Harris-type current sheets. The wave equations are expressed in terms of the four MHD characteristic speeds of fast, intermediate, slow, and cusp waves, and in the local (k ∥, k, z) coordinates. Here, k ∥ and k are, respectively, to be the wave vector along and perpendicular to the local magnetic field. The parameter regimes for the existence of discrete and resonant modes are identified, which may become unstable at the local fire-hose and mirror instability thresholds. Numerical solutions for discrete eigenmodes are shown for stable and unstable cases. The results have important implications for the anomalous heating and stability of thin current sheets.
机译：哈里斯型电流板的磁场模型为B？ = B x（z）x + B y（z）y在空间，天体物理学和实验室等离子体中具有许多重要的应用，其温度或压力通常表现出p的旋涡形式。 = p∥bb + p（I？-bb）。在这里，p∥和p分别是沿着和垂直于局部磁场的压力分量，b = B→/B。本研究提出了磁流体动力学（MHD）波传播，消防软管和管道的一般公式。一般哈里斯型电流表中的镜面不稳定性。波动方程以快波，中波，慢波和尖波的四个MHD特征速度以及局部（k∥，k，z）坐标表示。在此，k∥和k分别是沿着和垂直于局部磁场的波矢量。确定了存在离散和共振模式的参数范围，这些参数范围可能在局部失火软管和镜面不稳定阈值处变得不稳定。给出了稳定和不稳定情况下离散本征模的数值解。结果对薄电流片的异常加热和稳定性具有重要意义。

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