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arXiv 1306.4425astro-ph.GAastro-ph.CO
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外潮场修正的Jeans不稳定判据

Jeans instability criterion modified by external tidal field

Chanda J. Jog

摘要:

著名的金斯判据描述了在无限大的、均匀的、由压力支撑的自引力介质中不稳定性的开始。然而,大多数现实的天体物理系统并不是孤立的-相反,它们受到外部场的影响,例如由于邻居的潮汐场。在这里,我们做了一个系统在外场的线性微扰分析,并获得了一个广义色散关系,依赖于波数,声速,以及潮汐场的大小。一个典型的,破坏性的潮汐场,使系统更稳定的扰动,并导致更高的有效金斯波长。可以变得不稳定的最小质量比通常的金斯质量更高(超级金斯)。相反,在压缩潮汐场中,即使质量较低,扰动也会增长(亚金斯)。这种方法包括潮汐场开辟了一个新的方式来看待引力系统中的不稳定性。的治疗是一般的和简单的分析形式的修改后的牛仔准则,使它很容易获得。

英文摘要:

The well-known Jeans criterion describes the onset of instabilities in an infinite, homogeneous, self-gravitating medium supported by pressure. Most realistic astrophysical systems, however, are not isolated - instead they are under the influence of an external field such as the tidal field due to a neighbour. Here we do a linear perturbation analysis for a system in an external field, and obtain a generalized dispersion relation that depends on the wavenumber, the sound speed, and also the magnitude of the tidal field. A typical, disruptive tidal field is shown to make the system more stable against perturbations, and results in a higher effective Jeans wavelength. The minimum mass that can become unstable is then higher (super-Jeans) than the usual Jeans mass. Conversely, in a compressive tidal field, perturbations can grow even when the mass is lower (sub-Jeans). This approach involving the inclusion of tidal field opens up a new way of looking at instabilities in gravitating systems. The treatment is general and the simple analytical form of the modified Jeans criterion obtained makes it easily accessible.

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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