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arXiv 0905.1071astro-ph.HE
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吸积旋转星磁层顶的稳定性

Stability of the Magnetopause of Disk-Accreting Rotating Stars

R. V. E. Lovelace, L. Turner, M. M. Romanova

摘要:

我们讨论了旋转磁化中子星周围吸积盘的三种振荡模式,这可以解释在低质量X射线双星中看到的千赫兹准周期振荡(QPO)的分离。这些可压缩、非正压磁流体动力学(MHD)模式的存在要求吸积物质的角速度$Ω_ϕ(r)$有一个最大值,大于恒星的角速度$Ω_*$,并且流体在这个最大值附近近似作圆周运动,而不是迅速地向恒星移动或离开盘平面进入漏斗流。我们的MHD模拟显示了这种类型的流动和$Ω_ϕ(r)$轮廓。第一模式是Rossby波不稳定性(RWI)模式,其在$r_{R}$处的关键函数$g(r){\cal F}(r)$的最大值附近被径向捕获。模式角频率的实部是$ω_r=mΩ_ϕ(r_{R})$,其中$m=1,2...$是方位角模式数。第二种模式是由恒星磁场的旋转、非轴对称分量驱动的模式。它的角频率等于恒星的角旋转速率$Ω_*$。该模式在Lindblad共振半径附近被强烈激发,该共振半径略超出$r_R$。第三种模式自然产生于恒星磁场的旋转非轴对称分量与气流扰动的相互作用。它具有角频率$Ω_*/2$。我们认为,第一模式与$m=1$是与上QPO频率,$ν_u$ ;第一和第二模式的非线性相互作用给出了较低的QPO频率,$ν_\ell =ν_u-ν_*$ ;和第一和第三模式的非线性相互作用给出了较低的QPO频率$ν_\ell=ν_u-ν_*/2$,其中$ν_*=Ω_*/2π$。

英文摘要:

We discuss three modes of oscillation of accretion disks around rotating magnetized neutron stars which may explain the separations of the kilo-Hertz quasi periodic oscillations (QPO) seen in low mass X-ray binaries. The existence of these compressible, non-barotropic magnetohydrodynamic (MHD) modes requires that there be a maximum in the angular velocity $Ω_ϕ(r)$ of the accreting material larger than the angular velocity of the star $Ω_*$, and that the fluid is in approximately circular motion near this maximum rather than moving rapidly towards the star or out of the disk plane into funnel flows. Our MHD simulations show this type of flow and $Ω_ϕ(r)$ profile. The first mode is a Rossby wave instability (RWI) mode which is radially trapped in the vicinity of the maximum of a key function $g(r){\cal F}(r)$ at $r_{R}$. The real part of the angular frequency of the mode is $ω_r=mΩ_ϕ(r_{R})$, where $m=1,2...$ is the azimuthal mode number. The second mode, is a mode driven by the rotating, non-axisymmetric component of the star's magnetic field. It has an angular frequency equal to the star's angular rotation rate $Ω_*$. This mode is strongly excited near the radius of the Lindblad resonance which is slightly outside of $r_R$. The third mode arises naturally from the interaction of flow perturbation with the rotating non-axisymmetric component of the star's magnetic field. It has an angular frequency $Ω_*/2$. We suggest that the first mode with $m=1$ is associated with the upper QPO frequency, $ν_u$; that the nonlinear interaction of the first and second modes gives the lower QPO frequency, $ν_\ell =ν_u-ν_*$; and that the nonlinear interaction of the first and third modes gives the lower QPO frequency $ν_\ell=ν_u-ν_*/2$, where $ν_*=Ω_*/2π$.

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