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arXiv 0705.0441astro-ph
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相对论剪切流中的共振Kelvin-Helmholtz模

Resonant Kelvin-Helmholtz modes in sheared relativistic flows

Manuel Perucho, Michal Hanasz, Jose-Maria Marti, Juan-Antonio Miralles

摘要:

定性的新方面的(线性和非线性)的剪切相对论(板)射流的稳定性进行了分析。线性问题已经解决了范围广泛的喷流模型以及内部的超相对论域(流量洛伦兹因子高达20,比内能$\approx 60c^2$)。作为我们工作的一个显著特点,我们结合了分析线性方法与高分辨率相对论流体动力学模拟,这使我们能够i)在线性区域识别相对论剪切层特定的共振模式ii)用数值模拟确认线性分析的结果,iii)更有趣的是,通过非线性区域跟踪不稳定性发展。我们发现,非常高阶的反射模式与占主导地位的增长率可以修改的全球性,长期稳定的相对论流。我们讨论了这些共振模式的射流洛伦兹因子和特定的内能,并对剪切层厚度的依赖性。这些结果在河外相对论喷流研究中具有潜在的应用价值。

英文摘要:

Qualitatively new aspects of the (linear and non-linear) stability of sheared relativistic (slab) jets are analyzed. The linear problem has been solved for a wide range of jet models well inside the ultrarelativistic domain (flow Lorentz factors up to 20; specific internal energies $\approx 60c^2$). As a distinct feature of our work, we have combined the analytical linear approach with high-resolution relativistic hydrodynamical simulations, which has allowed us i) to identify, in the linear regime, resonant modes specific to the relativistic shear layer ii) to confirm the result of the linear analysis with numerical simulations and, iii) more interestingly, to follow the instability development through the non-linear regime. We find that very high-order reflection modes with dominant growth rates can modify the global, long-term stability of the relativistic flow. We discuss the dependence of these resonant modes on the jet flow Lorentz factor and specific internal energy, and on the shear layer thickness. The results could have potential applications in the field of extragalactic relativistic jets.

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