arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0704.0799astro-phgr-qc
收藏

吸积中子星的自旋演化:R模不稳定性的非线性发展

Spin Evolution of Accreting Neutron Stars: Nonlinear Development of the R-mode Instability

Ruxandra Bondarescu, Saul A. Teukolsky, Ira Wasserman

摘要:

用三重模模型模拟了低质量X射线双星(LMXB)的r模不稳定性的非线性饱和及其对自旋演化的影响。结合自旋和温度演化方程,我们数值求解了三模振幅的耦合方程。我们观察到,很快的模式振幅解决到准稳态。一旦达到这些状态,模式振幅可以用代数方法找到,方程组从八个减少到两个方程:自旋和温度演化。最终,系统可能达到热平衡,并且(1)经历频率变化最多为10%的循环演化,(2)朝着吸积力矩平衡引力辐射发射的完全平衡态演化,或者(3)在大约$10^6$年的很长时间尺度上进入热引力失控。或者,可能发生更快的热失控(约100年的时间尺度)。考虑的阻尼源是剪切粘性、超子体粘性和边界层粘性。我们改变了超子超流转变温度T_c、超过直接URCA反应阈值的恒星比例和滑移因子等性质,并将我们得到的不同情况映射到这些参数的范围。对于我们所有的约束演化,r模振幅保持小$\sim 10^{-5}$。自旋频率受边界层粘度限制为$ν_{max} \sim 800 Hz [S_{ns}/(M_{1.4} R_6)]^{4/11} T_8^{-2/11}$。我们发现,对于$ν> 700$ Hz的r-模不稳定性将是活跃的约1千LMXB和只有引力波从LMXB在本地的星系群可以检测到先进的LIGO干涉仪。

英文摘要:

The nonlinear saturation of the r-mode instability and its effects on the spin evolution of Low Mass X-ray Binaries (LMXBs) are modeled using the triplet of modes at the lowest parametric instability threshold. We solve numerically the coupled equations for the three mode amplitudes in conjunction with the spin and temperature evolution equations. We observe that very quickly the mode amplitudes settle into quasi-stationary states. Once these states are reached, the mode amplitudes can be found algebraically and the system of equations is reduced from eight to two equations: spin and temperature evolution. Eventually, the system may reach thermal equilibrium and either (1) undergo a cyclic evolution with a frequency change of at most 10%, (2) evolve toward a full equilibrium state in which the accretion torque balances the gravitational radiation emission, or (3) enter a thermogravitational runaway on a very long timescale of about $10^6$ years. Alternatively, a faster thermal runaway (timescale of about 100 years) may occur. The sources of damping considered are shear viscosity, hyperon bulk viscosity and boundary layer viscosity. We vary proprieties of the star such as the hyperon superfluid transition temperature T_c, the fraction of the star that is above the threshold for direct URCA reactions, and slippage factor, and map the different scenarios we obtain to ranges of these parameters. For all our bound evolutions the r-mode amplitude remains small $\sim 10^{-5}$. The spin frequency is limited by boundary layer viscosity to $ν_{max} \sim 800 Hz [S_{ns}/(M_{1.4} R_6)]^{4/11} T_8^{-2/11}$. We find that for $ν> 700$ Hz the r-mode instability would be active for about 1 in 1000 LMXBs and that only the gravitational waves from LMXBs in the local group of galaxies could be detected by advanced LIGO interferometers.

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。

↑