自适应粒子分裂求解大质量黑洞双星演化
Resolving massive black hole binaries evolution via adaptive particle-splitting
摘要：
研究大质量黑洞双星与其气体环境的相互作用是至关重要的，以便能够预测合并率和可能的电磁对应的引力波信号。由于这种相互作用而导致的双星半长轴的演化最近一直在争论，并且仍然缺乏明确的共识，也是因为一些数值限制，例如固定轨道双星或缺乏对双星在其环双星盘中雕刻的空腔内的分辨率。在3D无网格代码gizmo中使用动态粒子分裂，我们实现了超拉格朗日分辨率，这使我们能够正确解决腔内的动力学，特别是第一次在由局部等温气体circumbinary圆盘包围的两个组件周围形成的圆盘。我们表明，对于非常冷和非常热的圆盘，二元轨道会随着时间的推移而衰减，并且中间状态下相互作用的结果受到圆盘粘性的强烈影响，因为这本质上调节了二元周围圆盘中所含的质量分数。组件以及由二元吸积的部分。我们找到这两个量之间的平衡，以确定是否二进制半长轴随时间而减少。
英文摘要：
The study of the interaction of a massive black hole binary with its gaseous environment is crucial in order to be able to predict merger rates and possible electromagnetic counterparts of gravitational wave signals. The evolution of the binary semi-major axis resulting from this interaction has been recently debated, and a clear consensus is still missing, also because of several numerical limitations, i.e. fixed orbit binaries or lack of resolution inside the cavity carved by the binary in its circumbinary disc. Using on-the-fly particle-splitting in the 3D meshless code gizmo, we achieve hyper-Lagrangian resolution, which allows us to properly resolve the dynamics inside the cavity, and in particular for the first time the discs that form around the two components of a live binary surrounded by a locally isothermal gaseous circumbinary disc. We show that the binary orbit decays with time for very cold and very warm discs and that the result of the interaction in the intermediate regime is strongly in uenced by the disc viscosity as this essentially regulates the fraction of mass contained in the discs around the binary components as well as the fraction that is accreted by the binary. We find the balance between these two quantities to determine whether the binary semi-major axis decreases with time.
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