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arXiv 0901.4775astro-ph.HE
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相对论性无力射流的稳定性

Stability of Relativistic Force-Free Jets

Ramesh Narayan, Jason Li, Alexander Tchekhovskoy

摘要:

我们考虑一个双参数的家庭的圆柱形无力平衡,建模,以匹配相对论性无力射流的数值模拟。我们研究了这些平衡点的线性稳定性,假设在外圆柱半径R_j处有一个刚性不可穿透的壁,我们发现洛伦兹因子γ(R)随半径R单调增加的平衡点是稳定的。另一方面,γ(R)在中间半径处达到最大值,然后在Rj处下降到较小值γ j的平衡是不稳定的。增长最快的模式是m=1的扭结不稳定性,增长率为~(0.4 / γ j)(c/Rj)。等效对流不稳定性的e-折叠长度为~2.5 γ j R j。对于一个典型的喷流,其张开角θ j ~ few / γ j,模振幅随距喷流底部距离的增加而微弱地增长,比单纯应用Kruskal-Shafranov稳定性判据所期望的要慢得多。

英文摘要:

We consider a two-parameter family of cylindrical force-free equilibria, modeled to match numerical simulations of relativistic force-free jets. We study the linear stability of these equilibria, assuming a rigid impenetrable wall at the outer cylindrical radius R_j. We find that equilibria in which the Lorentz factor γ(R) increases monotonically with increasing radius R are stable. On the other hand, equilibria in which γ(R) reaches a maximum value at an intermediate radius and then declines to a smaller value γ_j at R_j are unstable. The most rapidly growing mode is an m=1 kink instability which has a growth rate ~ (0.4 / γ_j) (c/R_j). The e-folding length of the equivalent convected instability is ~2.5 γ_j R_j. For a typical jet with an opening angle θ_j ~ few / γ_j, the mode amplitude grows weakly with increasing distance from the base of the jet, much slower than one might expect from a naive application of the Kruskal-Shafranov stability criterion.

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