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arXiv 0810.2416astro-ph
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相对论磁流体力学中线性波的传播

Linear wave propagation in relativistic magnetohydrodynamics

R. Keppens, Z. Meliani

摘要:

本文讨论了相对论磁流体力学(MHD)中均匀等离子体的线性阿尔文、慢、快磁声波的性质,用群速度的知识扩充了它们的相速度的著名表达式。一个3+1的形式主义是故意采用牛顿MHD限制更容易直接比较,并强调其各向异性线性波特性的图形表示使用相和群速度图。通过绘制流体静止坐标系和实验室洛伦兹坐标系(等离子体相对于磁场以任意方向的三速度运动)的相对论像差效应的图形视图,获得了所有三种MHD波族的相对论像差效应。此外,还证实了经典惠更斯构式以通常的方式将相速度图和群速度图联系起来,即使对于实验室框架的观点也是如此。由于群速度图对应于精确解的初始条件对应于一个本地化的点扰动,它们的公式和几何结构可以作为基准目前的高分辨率算法的数值相对论MHD。

英文摘要:

The properties of linear Alfvén, slow, and fast magnetoacoustic waves for uniform plasmas in relativistic magnetohydrodynamics (MHD) are discussed, augmenting the well-known expressions for their phase speeds with knowledge on the group speed. A 3+1 formalism is purposely adopted to make direct comparison with the Newtonian MHD limits easier and to stress the graphical representation of their anisotropic linear wave properties using the phase and group speed diagrams. By drawing these for both the fluid rest frame and for a laboratory Lorentzian frame which sees the plasma move with a three-velocity having an arbitrary orientation with respect to the magnetic field, a graphical view of the relativistic aberration effects is obtained for all three MHD wave families. Moreover, it is confirmed that the classical Huygens construction relates the phase and group speed diagram in the usual way, even for the lab frame viewpoint. Since the group speed diagrams correspond to exact solutions for initial conditions corresponding to a localized point perturbation, their formulae and geometrical construction can serve to benchmark current high-resolution algorithms for numerical relativistic MHD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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