论文标题
从弱磁化的Schwarzschild Black Hole出口
Chaotic exits from a weakly magnetized Schwarzschild black hole
论文作者
论文摘要
一个带电的粒子从最初的圆形轨道上踢到弱磁化的Schwarzschild Black Hole周围会经历瞬态混沌运动，然后再被黑洞捕获，或者就磁场方向逃脱了上游或下游。这些最终状态在初始状态的空间中形成吸引力盆地。我们提供了该初始状态空间的盆地结构的详细数值研究。我们发现它具有奇特的WADA财产：其每个盆地边界都由所有三个盆地共享。使用盆地熵作为度量，我们表明，预测最终退出状态的不确定性随着更强的磁相互作用而增加。我们还提出了垂直踢电荷粒子的临界逃逸能的近似分析表达，并讨论这是如何取决于磁相互作用的强度的。
A charged particle kicked from an initial circular orbit around a weakly magnetized Schwarzschild black hole undergoes transient chaotic motion before either getting captured by the black hole or escaping upstream or downstream with respect to the direction of the magnetic field. These final states form basins of attraction in the space of initial states. We provide a detailed numerical study of the basin structure of this initial state space. We find it to possess the peculiar Wada property: each of its basin boundaries is shared by all three basins. Using basin entropy as a measure, we show that uncertainty in predicting the final exit state increases with stronger magnetic interaction. We also present an approximate analytic expression of the critical escape energy for a vertically-kicked charged particle, and discuss how this depends on the strength of the magnetic interaction.
