磁层高能粒子运动的Fokker Planck方程位置项扩散系数研究

楚伟; 秦刚; 许嵩; 黄建平; 泽仁志玛; 申旭辉

doi:10.11728/cjss2021.05.715

磁层高能粒子运动的Fokker Planck方程位置项扩散系数研究

doi: 10.11728/cjss2021.05.715

1. 应急管理部国家自然灾害防治研究院北京 100085;
2. 哈尔滨工业大学理学院深圳 518055

基金项目:

国家重点研发计划项目（2018YFC1503502-05），应急管理部国家自然灾害防治研究院启动项目（ZDJ2019-03）和ISSI-BJ项目（2019IT-33）共同资助

详细信息

作者简介:
楚伟,E-mail:chuwei4076@126.com

中图分类号: P353
计量
- 文章访问数: 291
- HTML全文浏览量: 63
- PDF下载量: 10
- 被引次数: 0
出版历程
- 收稿日期: 2020-07-21
- 修回日期: 2021-05-20
- 刊出日期: 2021-09-15

Study on the Position Diffusion Coefficients of Fokker Planck Equation of Magnetosphere Energetic Particle

1. National Institute of Natural Hazards, Ministry of Emergency Management of China, Beijing 100085;
2. School of Science, Harbin Institute of Technology, Shenzhen 518055

摘要

摘要: 利用准线性理论计算了磁层高能粒子运动的Fokker Planck方程在可观测相空间的位置项扩散系数，并与绝热不变量径向扩散系数进行对比分析.研究发现：位置项扩散系数随径向距离呈现R⁶的比例关系快速增大.相同径向距离条件下，由于空间位置项z分量的作用，高纬度地区的位置项扩散系数小于低纬度地区.通过与径向扩散系数对比发现，两者具有相同的量级，但两者的相对大小需要根据具体的扰动形态进行分析.此研究对使用测试粒子模拟磁层高能粒子运动，尤其是根据引导中心理论，利用蒙特卡洛方法求解磁层高能粒子运动的Fokker Planck方程，建立磁层空间高能粒子运动的精细化模型具有重要意义.
- 磁层 /
- 高能粒子 /
- Fokker Planck方程 /
- 相空间 /
- 扩散系数
Abstract: In this paper, the quasi-linear theory is used to calculate the diffusion coefficients of the Fokker Planck equation of energetic particles in the observable phase space, and the comparison with the adiabatic invariant radial diffusion coefficients is carried out. The main findings are as follows. The diffusion coefficients of the position items will increase rapidly with the radial distance. Under the same radial distance, the diffusion coefficient of the position items in the high latitude will be smaller than that in the low latitude. Compared with the radial diffusion coefficient, it is found that the two have the same magnitude, but the relative size of the two needs to be analyzed according to the specific disturbance form. This study will use the test particles to simulate the motion of energetic particles in the magnetosphere, especially the guidance center theory, and use the Monte Carlo method of stochastic partial differential to solve the Fokker Planck equation of the motion of energetic particles in the magnetosphere.
- Magnetosphere /
- Energetic particles /
- Fokker Planck equation /
- Phase space /
- Diffusion coefficient

HTML全文

参考文献(43)

[1]	BAKER D N. What is space weather[J]. Adv. Space Res., 1998, 22(1):7-16
[2]	BAKER D N. The occurrence of operational anomalies in spacecraft and their relationship to space weather[J]. IEEE Trans. Plasma Sci., 2000, 28(6):2007-2016
[3]	BAKER D N. Space science:how to cope with space weather[J]. Science, 2002, 297(5586):1486-1487
[4]	CAO Jinbin, LI Lei, WU Ji. Introduction to Space Physics[M]. Beijing:Science Press, 2001(曹晋滨, 李磊, 吴季. 太空物理学导论[M]. 北京:科学出版社, 2001)
[5]	VAINIO R, DESORGHER L, HEYNDERICKX D, et al. Dynamics of the Earth's particle radiation environment[J]. Space Sci. Rev., 2009, 147(3/4):187-231
[6]	UKHORSKIY A Y, SITNOV M I. Dynamics of radiation belt particles[J]. Space Sci. Rev., 2013, 179(1/2/3/4):545-578
[7]	SCHULZ M, LANZEROTTI L J. Particle Diffusion in the Radiation Belts[M]. Heidelberg:Springer, 1974
[8]	SHPRITS Y Y, THORNE R M, HORNE R B, et al. Acceleration mechanism responsible for the formation of the new radiation belt during the 2003 Halloween solar storm[J]. Geophys. Res. Lett., 2016, 33 (L05104).DOI: 10.1029/2005GL024256
[9]	HORNE R B, THORNE R M. Potential waves for relativistic electron scattering and stochastic acceleration during magnetic storms[J]. Geophys. Res. Lett., 1998, 25(15):3011-3014
[10]	SUMMERS D, THORNE R M, XIAO F. Relativistic theory of wave-particle resonant diffusion with application to electron acceleration in the magnetosphere[J]. J. Geophys. Res. Space Phys., 1998, 103(A9):20487-20500
[11]	ALBERT J M. Evaluation of quasi-linear diffusion coefficients for EMIC waves in a multispecies plasma[J]. J. Geophys. Res.:Space Phys., 2003, 108(A6):1249
[12]	HORNE R B, THORNE R M, SHPRITS Y Y, et al. Wave acceleration of electrons in the Van Allen radiation belts[J]. Nature, 2005, 437(7056):227-230
[13]	NORTHROP T G, TELLER E. Stability of the adiabatic motion of charged particles in the Earth's field[J]. Phys. Rev., 1960, 117(1):215-225
[14]	NORTHROP T G. The guiding center approximation to charged particle motion[J]. Ann. Phys., 1961, 15(1):79-101
[15]	NORTHROP T G. The Adiabatic Motion of Charged Particles[M]. New York:Interscience Publishers, 1963
[16]	MCILWAIN C E. Coordinates for mapping the distribution of magnetically trapped particles[J]. J. Geophys. Res., 1961, 66(11).DOI: 10.1029/JZ066i011p03681
[17]	MCILWAIN C E. Magnetic coordinates[J]. Space Sci. Rev., 1966, 5(5):585-598
[18]	TU W G, CUNNINGHAM Y, CHEN M, et al. Modeling radiation belt electron dynamics during gemchallenge intervals with the dream3d diffusion model[J]. J. Geophys. Res.:Space Phys., 2013, 118(10):6197-6211
[19]	ROEDERER J G. On the adiabatic motion of energetic particles in a model magnetosphere[J]. J. Geophys. Res. Atmos., 1967, 72:981-992
[20]	ROEDERER J G. Dynamics of Geomagnetically Trapped Radiation[M]. New York:Springer, 1970
[21]	ROEDERER J G, LEJOSNE S. Coordinates for representing radiation belt particle flux[J]. J. Geophys. Res.:Space Phys., 2018, 123(2):1381-1387
[22]	ZHEN Jie, CHU Wei. Numerical computation of proton geomagnetic vertical cutoff rigidities on 7-8 November 2004[J]. Chin. J. Space Sci., 2013, 33(3):250-257(甄杰, 楚伟. 质子地磁垂直截止刚度在2004年11月7-8日两个时刻处的数值模拟[J]. 空间科学学报, 2013, 33(3):250-257)
[23]	CHU W, QIN G. The geomagnetic cutoff rigidities at high latitudes for different solar wind and geomagnetic conditions[J]. Ann. Geophys., 2016, 34(1):45-53
[24]	757-5595-4
[25]	SCHLICKEISER Reinhard. Cosmic Ray Astrophysics[M]. Berlin:Springer Science & Business Media, 2013
[26]	MING Zhang. Theory of energetic particle transport in the magnetosphere:a noncanonical approach[J]. J. Geophys. Res. Space Phys., 2006, 111(A4).DOI: 10.1029/2005JA011323
[27]	XIAO F, SU Z, ZHENG H, et al. Modeling of outer radiation belt electrons by multidimensional diffusion process[J]. J. Geophys. Res. Space Phys., 2009, 114:A03201
[28]	MING Zhang. A markov stochastic process theory of cosmic-ray modulation[J]. Astrophys. J., 1999, 513(1):409
[29]	TAO X, ALBERT J M, CHAN A A. Numerical modeling of multidimensional diffusion in the radiation belts using layer methods[J]. J. Geophys. Res.:Space Phys., 2009, 114:A02215
[30]	TAO X, CHAN A A, ALBERT J M, et al. Stochastic modeling of multidimensional diffusion in the radiation belts[J]. J. Geophys. Res.:Space Phys., 2008, 113(A7):10.1029/2007JA012985
[31]	JOKIPII J R. Cosmic-ray propagation. I. Charged particles in a random magnetic field[J]. Astrophys. J., 1966, 146:480
[32]	JOKIPII J. Cosmic-ray propagation. Ⅱ. diffusion in the interplanetary magnetic field[J]. Astrophys. J., 1967, 149:405
[33]	XU Ronglan, LI Lei. Magnetospheric Particle Dynamics[M]. Beijing:Science Press, 2005(徐荣栏, 李磊. 磁层粒子动力学[M]. 北京:科学出版社, 2005)
[34]	FEI Y, CHAN A A, ELKINGTON S R, et al. Radial diffusion and MHD particle simulations of relativistic electron transport by ULF waves in the September 1998 storm[J]. J. Geophys. Res. Space Phys., 2006, 111(A12).DOI: 10.1029/2005JA011211
[35]	LIU W, TU W, LI X, et al. On the calculation of electric diffusion coefficient of radiation belt electrons with in situ electric field measurements by THEMIS[J]. Geophys. Res. Lett., 2016, 43(3):1023-1030
[36]	SUMMERS D. Quasi-linear diffusion coefficients for field-aligned electromagnetic waves with applications to the magnetosphere[J]. J. Geophys. Res.:Space Phys., 2005, 110:A08213
[37]	BRAUTIGAM D H, GINET G P, ALBERT J M, et al. CRRES electric field power spectra and radial diffusion coefficients[J]. J. Geophys. Res. Space Phys., 2005, 110(A2):DOI: 10.1029/2004ja010612
[38]	SHALCHI A. Nonlinear Cosmic Ray Diffusion Theories[M]. Berlin:Springer-Verlag, 2009
[39]	SOUTHWOOD D J, HUGHES W J. Theory of hydromagnetic waves in the magnetosphere[J]. Space Sci. Rev., 1983, 35(4):301-366
[40]	KIVELSON M G, SOUTHWOOD D J. Resonant ULF waves:a new interpretation[J]. Geophys. Res. Lett., 1985, 12(1):DOI: 10.1029/GL012i001p00049
[41]	ZONG Qiugang, WANG Yongfu, YUAN Chongjing, et al. Fast acceleration of "Killer" electrons and energetic ions by interplanetary shock stimulated ULF waves in the inner magnetosphere[J]. Chin. Sci. Bull., 2011, 7:464-476(宗秋刚, 王永福, 袁憧憬, 等. 内磁层中行星际激波激发的超低频波对"杀手"电子和能量离子的快速加速[J]. 科学通报, 2011, 2011, 7:464-476)
[42]	QIN G, MATTHAEUS W, BIEBER J. Perpendicular transport of charged particles in composite model turbulence:recovery of diffusion[J]. Astrophys. J. Lett., 2002, 578(2):L117
[43]	QIN G, MATTHAEUS W, BIEBER J. Subdiffusive transport of charged particles perpendicular to the large scale magnetic field[J]. Geophys. Res. Lett., 2002, 29(4):7-1-7-4