Kelvin-Helmholtz instabilities of relativistic magnetohydrodynamic planar flows
Kelvin-Helmholtz instabilities of relativistic magnetohydrodynamic planar flows
复制标题
相对论磁流体动力平面流的开尔文-亥姆霍兹不稳定性
DOI：
10.1051/0004-6361:200809605
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
A. Ferrari
中科院分区：
文献类型：
--
作者：
Z. Osmanov;A. Mignone;S. Massaglia;G. Bodo;A. Ferrari
目标。我们研究了分离两个相对论磁化流的平面界面的线性稳定性。这两种流动是由（特殊）相对论方程的磁化理想气体在无限电导率近似。方法.采用涡面近似，将相对论磁流体力学方程在平衡态附近线性化，导出了相应的色散关系，并进行了讨论。的配置和制度的不稳定性的行为进行了研究以下四个物理参数的影响：流速，相对论和Alfvenic马赫数，和倾斜的波矢量的平面上的接口。结果从色散关系的数值解，我们发现在一般两个独立的区域的不稳定性，分别与慢和快磁声模式。平行于流速的模式是不稳定的，只有足够低的磁化。对于后一种情况，稳定是达到，此外，在足够大的相对论速度之间的两个流在相对运动。结论.我们简要地评论这些结果的相关性的研究的稳定性天体物理喷流。
Aims. We investigate the linear stability properties of the plane interface separating two relativistic magnetized flows in motion with respect to each other. The two flows are governed by the (special) relativistic equations for a magnetized perfect gas in the infinite conductivity approximation. Methods. By adopting the vortex-sheet approximation, the relativistic magnetohydrodynamics equations are linearized around the equilibrium state and the corresponding dispersion relation is derived and discussed. The behavior of the configuration and the regimes of instability are investigated following the effects of four physical parameters: the flow velocity, the relativistic and Alfvenic Mach numbers, and the inclination of the wave vector on the plane of the interface. Results. From the numerical solution of the dispersion relation, we find in general two separate regions of instability, associated with the slow and fast magnetosonic modes respectively. Modes parallel to the flow velocity are destabilized only for sufficiently low magnetization. For the latter case, stabilization is attained, in addition, at sufficiently large relativistic velocities between the two flows in relative motion. Conclusions. We briefly comment the relevance of these results to the study of the stability of astrophysical jets.