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磁層中高緯截止剛度研究以及Fokker-Planck擴散系數矩陣研究

發(fā)布時間:2018-02-21 17:08

  本文關鍵詞: 地球磁層 高能粒子 截止剛度 Fokker-Planck方程 隨機微分方程 擴散系數 磁暴 數值模擬 出處:《中國科學院國家空間科學中心》2016年博士論文 論文類型:學位論文


【摘要】:高能粒子在地球磁層中的傳輸、加速和損失機制一直是磁層物理研究的重點、熱點和難點問題,也是建立空間天氣數值預報模式的關鍵問題。地球磁層結構的復雜性和行星際條件的多變性,使得人們對這個問題的研究變得極其困難。本文通過理論模型、數值模擬和衛(wèi)星觀測相結合的方法對高能粒子在磁層中的傳輸過程進行系統(tǒng)深入的研究。我們的研究主要包含兩部分。第一部分,使用垂直截止剛度的方法研究了高能粒子從中高緯度地區(qū)進入磁層空間的相關問題。我們定義了高能粒子進入磁層空間的窗口(CRWs)概念,研究了窗口面積與行星際條件、地磁活動指數的相關關系。宇宙線窗口面積與太陽風參數(例如行星際磁場Bz分量以及太陽風動壓Pdyn)相關,其中Bz分量具有最明顯的負相關,Pdyn具有正相關性,其他的太陽風參數沒有如此強烈的相關性。我們同時模擬了三個不同磁暴期間CRWs的變化情況。研究發(fā)現,通常情況下AE指數和CRWs的面積具有正相關,但是Dst指數只有在強磁暴的時候才顯示相關性,在中等磁暴和弱磁暴時沒有相關性,因此Dst指數不能作為高能粒子進入磁層中高緯度地區(qū)的預報指數。研究過程中我們發(fā)現高能粒子截止緯度可以使用橢圓進行很好的擬合,我們給定了橢圓的方程表達形式,同時研究了橢圓參數與行星際條件、地磁活動指數的相關關系,給定了橢圓參數的解析表達式。第二部分利用高能粒子傳播Fokker-Planck方程,我們對空間高能粒子在磁層傳播進行了理論研究,并對方程的數值解法進行深入討論。我們詳細研究了五維擴散系數矩陣的計算方法,并對擴散系數矩陣進行了對比分析。研究發(fā)現投擲角擴散系數Dμμ和交叉項擴散系數DYμ基本具有相同的數量級,因此兩者在粒子運動過程中具有相同的重要性,尤其是當投擲角余弦是±1時,即粒子的投擲角是0°或者180°時。交叉項擴散系數能引起磁赤道面內粒子的空間位置發(fā)生變化,使得粒子可能在磁赤道面內進行振動,獲得晨昏向電場的加速。我們的研究對磁層粒子的損失和鏡點粒子反彈具有指示意義。
[Abstract]:The mechanism of transmission, acceleration and loss of high-energy particles in the earth's magnetosphere has always been the focal point, hot spot and difficult problem in magnetospheric physics. The complexity of the structure of the magnetosphere and the variability of interplanetary conditions make it extremely difficult to study this problem. Numerical simulation and satellite observation are combined to study the transmission process of high-energy particles in the magnetosphere. Our research mainly consists of two parts. Using the method of vertical cut-off stiffness, we study the problems of high-energy particles entering the magnetosphere space in the middle and high latitudes. We define the concept of window CRWs for high-energy particles entering the magnetosphere space, and study the window area and interplanetary conditions. Correlation of geomagnetic activity index. The cosmic ray window area is correlated with solar wind parameters (such as interplanetary magnetic field Bz component and solar wind dynamic pressure Pdynn), in which Bz component has the most obvious negative correlation and Pdyn has positive correlation. Other solar wind parameters are not so strongly correlated. We also simulated the changes of CRWs during three different magnetic storms. The study found that the AE index and the area of CRWs are generally positively correlated. However, the Dst exponent shows correlation only in strong magnetic storms, but not in moderate and weak magnetic storms. Therefore, the Dst exponent can not be used as the prediction index for high-energy particles entering the magnetosphere at the middle and high latitudes. In the course of the study, we found that the cut-off latitudes of high-energy particles can be well fitted by ellipse, and we have given the expression form of ellipse equation. The correlation between elliptic parameters and interplanetary conditions and geomagnetic activity index is also studied. The analytical expression of elliptic parameters is given. In the second part, the Fokker-Planck equation of high energy particle propagation is used. We studied the propagation of high energy particles in the magnetosphere, and discussed the numerical solution of the equation. We studied the calculation method of the five dimensional diffusion coefficient matrix in detail. The diffusion coefficient matrix is compared and analyzed. It is found that the diffusion coefficient D 渭 渭 of the throwing angle and the diffusion coefficient DY 渭 of the cross term have the same order of magnitude, so they have the same importance in the process of particle motion. Especially when the cosine of the throwing angle is 鹵1:00, that is, the throwing angle of the particle is 0 擄or 180 擄, the diffusion coefficient of the cross term can cause the change of the space position of the particle in the magnetic equator plane, which may make the particle vibrate in the magnetic equator plane. The acceleration of the electric field is obtained. Our study indicates the loss of magnetospheric particles and the rebound of specular particles.
【學位授予單位】:中國科學院國家空間科學中心
【學位級別】:博士
【學位授予年份】:2016
【分類號】:P353

【參考文獻】

相關期刊論文 前1條

1 徐文耀;;地磁與空間物理資料的組織和相關坐標系[J];地球物理學進展;2006年04期

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本文編號:1522406

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