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arXiv 0802.2607astro-ph
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相对论性磁流体平面流Kelvin-Helmholtz不稳定性的线性理论

On the linear theory of Kelvin-Helmholtz instabilities of relativistic magnetohydrodynamic planar flows

Z. Osmanov, A. Mignone, S. Massaglia, G. Bodo, A. Ferrari

摘要:

本文研究了分离两个作相对运动的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。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,并对色散关系进行了讨论。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,即:流速,相对论和Alfvénic马赫数和倾斜的波矢量的界面上的平面。从色散关系的数值解,我们发现在一般情况下,两个独立的区域的不稳定性,分别与慢,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,另外,在相对运动的两个流之间的足够大的相对论速度下获得稳定。这些结果的相关性的天体物理喷流的稳定性的研究进行了简要的评论。

英文摘要:

We investigate the linear stability properties of the plane interface separating two relativistic magnetized flows in relative motion. The two flows are governed by the (special) relativistic equations for a magnetized perfect gas in the infinite conductivity approximation. 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, namely: the flow velocity, the relativistic and Alfvénic Mach numbers and the inclination of the wave vector on the plane of the interface. From the numerical solution of the dispersion relation, we find in general two separate regions of instability, associated respectively with the slow and fast magnetosonic modes. Modes parallel to the flow velocity are destabilized only for sufficiently low magnetization. For the latter case, stabilization is attained, additionally, at sufficiently large relativistic velocities between the two flows in relative motion. The relevance of these results to the study of the stability of astrophysical jets is briefly commented.

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