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arXiv physics/0510023physics.plasm-phastro-phphysics.class-ph
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超新星喷出物中的非定常瑞利-泰勒不稳定性

Non-stationary Rayleigh-Taylor instability in supernovae ejecta

Xavier Ribeyre, Ludovic Hallo, Vladimir Tikhonchuk, Serge Bouquet, Javier Sanz

摘要:

Rayleigh-Taylor不稳定性在许多天体的动力学,特别是超新星演化中起着重要的作用。在本文中,我们发展了一种分析方法,研究了球形膨胀的SN喷出物的稳定性分析,通过使用一个特殊的变换,在共同移动的坐标系。本文首先研究了中心源压力作用下气体壳层的非定常球膨胀。然后,我们分析了它的稳定性相对于一个非径向,非球对称扰动的外壳。我们考虑的情况下,多方常数的SN壳是$γ=5/3$,我们研究的任意壳扰动的演变。导出了色散关系。发现扰动的增长率,并讨论其时空演化。稳定域取决于喷出物壳的厚度,它的加速度,和扰动波长。

英文摘要:

The Rayleigh-Taylor instability plays an important role in the dynamics of several astronomical objects, in particular, in supernovae (SN) evolution. In this paper we develop an analytical approach to study the stability analysis of spherical expansion of the SN ejecta by using a special transformation in the co-moving coordinate frame. We first study a non-stationary spherical expansion of a gas shell under the pressure of a central source. Then we analyze its stability with respect to a no radial, non spherically symmetric perturbation of the of the shell. We consider the case where the polytropic constant of the SN shell is $γ=5/3$ and we examine the evolution of a arbitrary shell perturbation. The dispersion relation is derived. The growth rate of the perturbation is found and its temporal and spatial evolution is discussed. The stability domain depends on the ejecta shell thickness, its acceleration, and the perturbation wavelength.

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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