r模诱导的有差自转中子星的长期演化和引力波辐射
Long-term evolution and gravitational wave radiation of neutron stars with differential rotation induced by r-modes
摘要：
S'a & Tom'e在二阶r模理论中发现，中子星（NS）的r模振荡可以诱发恒星的微分自转，从而自发地导致振荡的饱和状态。在考虑r模与恒星自旋演化和热演化耦合的基础上，考虑r模的粘性阻尼效应，详细研究了r模诱导的差旋对孤立NS和低质量X射线双星NS长期演化的影响.数值结果表明，对于两种不同的NS，微分旋转都能显著延长r模饱和态的持续时间。因此，恒星可以在一千年内保持几乎恒定的温度和角速度。此外，由于恒星的长期稳定旋转，可以预期持续的准单色引力波辐射，这增加了新生和吸积老NS的引力波的可探测性。
英文摘要：
In a second-order r-mode theory, S'a & Tom'e found that the r-mode oscillation in neutron stars (NSs) could induce stellar differential rotation, which leads to a saturation state of the oscillation spontaneously. Based on a consideration of the coupling of the r-modes and the stellar spin and thermal evolutions, we carefully investigate the influences of the r-mode-induced differential rotation on the long-term evolutions of isolated NSs and NSs in low-mass X-ray binaries, where the viscous damping of the r-modes and its resultant effects are taken into account. The numerical results show that, for both kinds of NSs, the differential rotation can prolong the duration of the r-mode saturation state significantly. As a result, the stars can keep nearly constant temperature and angular velocity over a thousand years. Moreover, due to the long-term steady rotation of the stars, persistent quasi-monochromatic gravitational wave radiation could be expected, which increases the detectibility of gravitational waves from both nascent and accreting old NSs.
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