The relativistic kinetic Weibel instability : Comparison of different distribution functions
The relativistic kinetic Weibel instability : Comparison of different distribution functions
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相对论动力学韦贝尔不稳定性：不同分布函数的比较
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
R. Tautz
中科院分区：
文献类型：
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作者：
U. Schaefer;R. Tautz
由于相对论韦贝尔不稳定性在各种天体物理场景中的潜在用途，对相对论韦贝尔不稳定性的研究在过去几年中蓬勃发展。在本文中，根据最近开发的一般描述，提供了众所周知的分布函数的增长率参数。要处理的四种分布是单色分布、水袋分布、双麦克斯韦分布和 κ 分布。这种处理的优点是：（i）只需求解一个积分即可获得增长率，因此（ii）可以轻松比较不同的分布。给出了每个分布的增长率的数字说明。增长率可以根据分布函数的变化进行分类。另外，对之前论文的一些公式进行了修正。
Investigations of the relativistic Weibel instability have burgeoned in the last few years because of their potential use in various astrophysical scenarios. In this article, the parameters for the growth rates of well-known distribution functions are provided, based on a recently developed general description. The four distributions to be dealt with are the monochromatic, waterbag, bi-Maxwellian and the κ distribution. The advantages of this treatment are: (i) One has to solve only one integral to obtain the growth rates, thus (ii) one may compare the different distributions easily. Numerical illustrations of the growth rates for each distribution are given. The growth rates can be classified due to the ansatz of the distributions functions. In addition, some formulas of a previous paper are corrected.