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arXiv 1503.08470astro-ph.SRastro-ph.EPphysics.flu-dyn
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关于原恒星吸积盘中自引力Rossby界面波的机制

On the mechanism of self gravitating Rossby interfacial waves in proto-stellar accretion discs

Ron Yellin-Bergovoy, Eyal Heifetz, Orkan M. Umurhan

摘要:

在一个理想化的二维原恒星盘模型中研究了边缘波在自引力影响下的动力学响应。在稳态下,原恒星盘是一个垂直旋转的无限大流体圆柱体,除了在半径r0处有一个单一的密度界面外,密度不变。在基本状态下的流体被规定为旋转的开普勒轮廓$Ω_k(r)\sim r^{-3/2}$修改一些额外的方位角剪切流。线性分析表明,存在两种方位向传播的边缘波,它们与陆地研究中常见的Rossby波和表面重力波类似,它们相对于界面处的局部基态旋转速率彼此反向运动。不稳定性只发生在径向压力梯度与密度跃变(不稳定分层)相反的情况下,在这种情况下,无论系统的分层如何,自重都充当波稳定器。波的传播特性进行了详细讨论的涡度边缘波的语言。Boussinesq和非Boussinesq效应对这些波的稳定性和传播的作用,包括和不包括自重力,然后量化。自引力非Boussinesq效应是涡量产生的一个来源,在基态密度上有一个跳跃,此外,自引力还通过径向主压梯度改变了动力学,这是一种Boussinesq效应。这些机械的见解的进一步应用中提出的结论,包括多密度跳跃或间隙可能是或可能不是稳定的方式。

英文摘要:

The dynamical response of edge waves under the influence of self-gravity is examined in an idealized two-dimensional model of a proto-stellar disc, characterized in steady state as a rotating vertically infinite cylinder of fluid with constant density except for a single density interface at some radius r0. The fluid in basic state is prescribed to rotate with a Keplerian profile $Ω_k(r)\sim r^{-3/2}$ modified by some additional azimuthal sheared flow. A linear analysis shows that there are two azimuthally propagating edge waves, kin to the familiar Rossby waves and surface gravity waves in terrestrial studies, which move opposite to one another with respect to the local basic state rotation rate at the interface. Instability only occurs if the radial pressure gradient is opposite to that of the density jump (unstably stratified) where self-gravity acts as a wave stabilizer irrespective of the stratification of the system. The propagation properties of the waves are discussed in detail in the language of vorticity edge waves. The roles of both Boussinesq and non-Boussinesq effects upon the stability and propagation of these waves with and without the inclusion of self-gravity are then quantified. The dynamics involved with self-gravity non- Boussinesq effect is shown to be a source of vorticity production where there is a jump in the basic state density, in addition, self-gravity also alters the dynamics via the radial main pressure gradient, which is a Boussinesq effect . Further applications of these mechanical insights are presented in the conclusion including the ways in which multiple density jumps or gaps may or may not be stable.

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