Cylindrical Hall – MHD Waves: A Nonlinear Solution
Cylindrical Hall – MHD Waves: A Nonlinear Solution
复制标题
圆柱形霍尔 – MHD 波：非线性解决方案
DOI：
10.1007/s11207-008-9117-8
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发表时间：
2008
期刊：
影响因子：
2.8
通讯作者：
B. Varghese
中科院分区：
文献类型：
--
作者：
V. Krishan;B. Varghese
在光球通量管中的均匀旋转弱电离等离子体中，得到了不可压缩霍尔磁流体动力学（HMHD）波的精确非线性柱面解，其中包括电子-中性碰撞引起的耗散。波的ω-k关系，这里称为霍尔- MHD波，证明了在大的轴向和径向波数下由霍尔效应引入的波的色散性质。霍尔-磁流体动力学波一般是椭圆偏振的.部分电离的等离子体支持较低的频率模式，与完全电离的等离子体（δ=1）相比，通过离子质量密度与中性粒子质量密度的因子δ 1比降低。速度和磁场波动之间的关系与阿尔文波中发现的均分显著不同。这些短波长和任意大振幅的波可能有助于加热太阳大气。
The exact nonlinear cylindrical solution for incompressible Hall – magnetohydrodynamic (HMHD) waves, including dissipation, essentially from electron – neutral collisions, is obtained in a uniformly rotating, weakly ionized plasma such as exists in photospheric flux tubes. Theω–krelation of the waves, called here Hall – MHD waves, demonstrates the dispersive nature of the waves, introduced by the Hall effect, at large axial and radial wavenumbers. The Hall – MHD waves are in general elliptically polarized. The partially ionized plasma supports lower frequency modes, lowered by the factorδ≡ratio of the ion mass density to the neutral particle mass density, as compared to the fully ionized plasma (δ=1). The relation between the velocity and the magnetic field fluctuations departs significantly from the equipartition found in Alfvén waves. These short-wavelength and arbitrarily large amplitude waves could contribute toward the heating of the solar atmosphere.