广义相对论中的规则运动和混沌运动：大质量磁偶极子的情形
Regular and Chaotic Motion in General Relativity: The Case of a Massive Magnetic Dipole
摘要：
作为气体和尘埃环境吸积的模型，研究了致密物体附近的颗粒、尘埃颗粒和流体的圆周运动。本文在广义相对论的框架内，进一步讨论了在引力场和大尺度磁场共同作用下，由于等离子体过程和光电离的相互作用，吸积物质获得了少量电荷的情况下，物质的平衡图形。特别是，我们采用了精确的解决方案，描述了大量的磁偶极子，我们确定的稳定运动的区域。我们还调查的情况下，粒子动力学表现出混沌的发病。为了表征措施的混乱，我们采用的技术庞加莱表面的部分和递归图。
英文摘要：
Circular motion of particles, dust grains and fluids in the vicinity of compact objects has been investigated as a model for accretion of gaseous and dusty environment. Here we further discuss, within the framework of general relativity, figures of equilibrium of matter under the influence of combined gravitational and large-scale magnetic fields, assuming that the accreted material acquires a small electric charge due to interplay of plasma processes and photoionization. In particular, we employ an exact solution describing the massive magnetic dipole and we identify the regions of stable motion. We also investigate situations when the particle dynamics exhibits the onset of chaos. In order to characterize the measure of chaoticness we employ techniques of Poincaré surfaces of section and of recurrence plots.
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。
