AI 中文总结
该研究从一阶后牛顿流体动力学方程出发，推导后牛顿洛希势与质量转移处方，纳入子星质量时间依赖性修正相关引力波量，应用于极端致密双星，发现质量转移对引力波观测有长期相位漂移效应。
AI 中文摘要
双星系统中的质量转移是众多天体物理现象的核心，包括致密相互作用双星的演化。我们从共转参考系中的一阶后牛顿流体动力学方程出发，推导出一阶后牛顿洛希势，并构建对应的后牛顿形式的洛希瓣溢流质量转移处方。随后，我们将子星质量的时间依赖性纳入双星动力学，计算运动方程、引力波能量和角动量通量以及远场偏振波形的相关修正。最后，我们将该模型应用于典型的极端致密双星系统，发现质量转移在致密双星的动力学演化中可发挥重要作用，对于引力波观测，其主要效应表现为在长期观测时间内积累的长期相位漂移。
英文摘要
Mass transfer in binary systems is central to many astrophysical phenomena, including the evolution of compact interacting binaries. Starting from the first post-Newtonian hydrodynamic equations in the corotating frame, we derive the first post-Newtonian Roche potential and construct the corresponding post-Newtonian form of the Roche lobe overflow mass transfer prescription. We then include the time dependence of the component masses in the binary dynamics and compute the associated corrections to the equations of motion, gravitational-wave energy and angular-momentum fluxes, and far-zone polarization waveforms. Finally, we apply the model to representative ultracompact binary systems. We find that mass transfer can play an important role in the dynamical evolution of compact binaries. For gravitational-wave observations, its main effect appears as a secular phase drift accumulated over long observation times.
