Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole
Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole
复制标题
应用显式辛积分器研究磁化克尔黑洞周围带电粒子的混沌
DOI：
10.1140/epjc/s10052-021-09579-7
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发表时间：
2021
影响因子：
4.4
通讯作者：
Wu Xin
中科院分区：
文献类型：
--
作者：
Sun Wei;Wang Ying;Liu Fuyao;Wu Xin
在吴，王，孙和刘最近的工作，二阶显式辛积分提出了可积克尔时空几何。它仍然适合模拟围绕嵌入外部磁场中的克尔黑洞运动的带电粒子的不可积动力学。它的成功建设是由于一个时间转换的贡献。该算法在稳定的哈密顿误差和计算效率方面具有良好的长期数值性能。作为其应用，综述了带电粒子的有序和混沌动力学。在某些情况下，时空拖曳效应的增加似乎削弱了庞加莱截面上整体相空间结构的混沌程度。然而，磁参数的增加，加强混沌特性。另一方面，快速李雅普诺夫指标表明，没有普遍的规则，不同的动力学制度之间的过渡对黑洞自旋的依赖。从局部的观点来看，时空的拖曳效应并不总是削弱混沌的程度。
In a recent work of Wu, Wang, Sun and Liu, a second-order explicit symplectic integrator was proposed for the integrable Kerr spacetime geometry. It is still suited for simulating the nonintegrable dynamics of charged particles moving around the Kerr black hole embedded in an external magnetic field. Its successful construction is due to the contribution of a time transformation. The algorithm exhibits a good long-term numerical performance in stable Hamiltonian errors and computational efficiency. As its application, the dynamics of order and chaos of charged particles is surveyed. In some circumstances, an increase of the dragging effects of the spacetime seems to weaken the extent of chaos from the global phase-space structure on Poincaré sections. However, an increase of the magnetic parameter strengthens the chaotic properties. On the other hand, fast Lyapunov indicators show that there is no universal rule for the dependence of the transition between different dynamical regimes on the black hole spin. The dragging effects of the spacetime do not always weaken the extent of chaos from a local point of view.