Abstract

The flute instability at the inner edge of a thin diamagnetic accretion disk is analyzed. The magnetic field configuration model from Aly (1980) is used. We have analyzed a modified dispersion relation for the flute instability that takes into account the Keplerian disk rotation. We have derived the inner radius of the accretion disk within our analysis of the flute instability. We show that the inner radius does not differ from the Alfvén radius for spherical accretion to within a dimensionless coefficient, with the proportionality coefficient depending only on the turbulence alpha parameter and the relative disk thickness ( \(h/r\) ).

中文翻译：

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强磁场中子星吸积盘吸积的槽纹不稳定性效应

摘要

分析了薄反磁性吸积盘内边缘的凹槽不稳定性。使用 Aly (1980) 的磁场配置模型。我们分析了考虑开普勒圆盘旋转的笛卡尔不稳定性的修正色散关系。我们在对凹槽不稳定性的分析中得出了吸积盘的内半径。我们证明，在无量纲系数内，内半径与球形吸积的阿尔文半径没有区别，比例系数仅取决于湍流 alpha 参数和相对盘厚度 ( \(h/r\) )。