能量和角动量对磁化γ时空中带电粒子混沌运动的影响  

Effects of energy and angular momentum on chaotic motionof charged particles in the magnetizedγspace-time

作　　者：胡爱荣[1,2] 黄国庆 HU Airong;HUANG Guoqing(School of Science,Nanchang University,Nanchang 330031,China;School of Civil Engineering and Architectrue,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学理学院,江西南昌330031 [2]南昌大学建筑工程学院,江西南昌330031

出　　处：《南昌大学学报（理科版）》2021年第4期344-350,357,共8页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11533004);国家自然科学基金资助项目(11663005);江西自然科学基金资助项目(2016BAB201015)。

摘　　要：为了解黑洞的性质,通过γ时空度规及磁场的四维矢势,推导出磁化时空中带电测试粒子运动的哈密顿函数及其对应的正则方程。采用四阶龙库-流形改正法对动力学方程进行数值求解,再根据计算数据绘制出反映粒子在相空间运动的庞加莱截面演化图,形象地展示出能量和角动量对带电粒子混沌运动的影响。结果表明,保持其他参数条件不变并取相同的轨道初值,带电粒子能量越高其运动能力就越强,越容易破坏引力束缚态下的有序性导致混沌发生;而角动量的增大则加强了磁场力的引力效应,导致粒子的有效势增加,粒子运动的混沌程度因此减弱。In order to get some properties of black holes,the motion of charged particles in the magnetizedγspace-time is studied.After considering the gauge of the space-time and the four-dimensional vector potential of magnetic field,Hamiltonian function and the corresponding canonical equations are obtained.Based on the manifold correction method being adopted to calculate the partial differential equations,Poincare sections in phase space are described.In spite of the energy or angular momentum,the other parameters and the initial values of the orbit are chosen to remain the same to investigate the motion of particles.The result shows that,the more energy is given,the more kinergety charged particle can get,and the chaotic motion becomes easier than ever.Because the gravitational effect of magnetic field force strengthens when the angular momentum increases,it makes the chaotic motion decrease with the enhancement of the effective potential.

关 键 词：黑洞 γ时空 磁化 混沌 

分 类 号：O412.1[理学—理论物理]