Scattering of radiation belt electrons caused by wave-particle interactions with magnetosonic waves associated with plasma density drop
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摘要:
利用范阿伦卫星的高质量观测数据，我们报道了伴随等离子体密度下降的磁声波现象.通过选取分别发生于2013年7月26日（事件A）和2013年9月19日（事件B）的两个相应事件进行细致分析，我们开展试验粒子模拟计算了磁声波对辐射带电子的散射系数，并求解二维福克-普朗克扩散方程量化了磁声波散射导致的辐射带电子动态变化.结果表明，事件A中的磁声波的散射作用主要发生于投掷角范围为60°~80°、能量范围为20~200 keV的辐射带电子，而事件B中的磁声波的散射作用主要发生于投掷角范围为50°~80°、能量范围为20~400 keV的辐射带电子；两个事件中的磁声波均能导致辐射带电子的蝴蝶状投掷角分布，但是由于事件B的磁声波幅度更强，形成的电子蝴蝶状分布更明显.
Abstract:Using high quality Van Allen Probes data, we report a type of magnetosonic (MS) waves occurring concurrently with the ambient plasma density drop. We select two representative events observed on 26 July 2013 (Event A) and 19 September 2013 (Event B) for a detailed analysis. In terms of computing electron diffusion coefficients via test particle simulations and numerically solving the two-dimensional Fokker-Planck diffusion equation, we quantitatively investigate the scattering effect of this type of MS waves on the temporal evolution of radiation belt electron distribution. The results indicate that the MS waves associated with the density drop can cause considerable pitch angle and momentum diffusion for radiation belt electrons at energies of 20~200 keV and equatorial pitch angles of 60°~80° for Event A, and for electrons at energies of 20~400 keV and equatorial pitch angles of 50°~80° for Event B.
For both events, butterfly pitch angle distributions of radiation belt electrons can be formed under the impact of the observed MS waves, while the electron butterfly distribution tends to be more pronounced for Event B due to stronger MS wave intensity.
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图 1
范阿伦B卫星2013年7月26日的等离子体波的观测结果
Figure 1.
Plasma waves observations of Van Allen Probes B on 26 July 2013
图 2
在磁声波的影响下，电子的投掷角、交叉(投掷角，动量)、动量扩散系数(从左到右：〈Dαα〉，〈|Dαp|〉，〈Dpp〉)随赤道投掷角(αeq)和电子动能Ek变化的二维图
Figure 2.
Two-dimensional plots of drift- and bounce-average pitch angle, cross (pitch angle, momentum) and momentum diffusion coefficients (from left to right: 〈Dαα〉, 〈|Dαp|〉, 〈Dpp〉) as a function of equatorial pitch angle αeq and electron kinetic energy Ek by magnetosonic waves
图 3
(a—e)在MS波的影响下，相应时间内电子PSD(Phase Space Density, 相空间密度)的二维演化图；(f—i)在L=4.2处，模拟电子PSD(实线)在(f) Δt=3 h; (g) Δt=6 h; (h) Δt=12 h; (i) Δt=24 h的演化图，虚线表示初始电子PSD
Figure 3.
(a—e) Two-dimensional temporal evolution of electron PSD under the impact of MS waves at the indicated interaction time stamps; (f—i) The temporal evolution of simulated electron PSDs (the solid lines) at (f) Δt=3 h; (g) Δt=6 h; (h) Δt=12 h; (i) Δt=24 h at L=4.2, with dashed line representing initial electron PSD
图 4
范阿伦B卫星2013年9月19日的等离子体波的观测
Figure 4.
Plasma waves observations of Van Allen Probes B on 19 September 2013
图 5
在磁声波的影响下，电子的投掷角、交叉(投掷角和动量)、动量扩散系数(从左到右：〈Dαα〉, 〈|Dαp|〉, 〈Dpp〉)随赤道投掷角(αeq)和电子动能Ek变化的二维图
Figure 5.
Two-dimensional plots of drift- and bounce-average pitch angle, cross (pitch angle, momentum) and momentum diffusion coefficients (from left to right: 〈Dαα〉, 〈|Dαp|〉, 〈Dpp〉) as a function of equatorial pitch angle αeq and electron kinetic energy Ek by magnetosonic waves
图 6
(a—e)在MS波的影响下，相应时间内电子PSD的二维演化图；(f—i)在L=4.36处，模拟电子PSD(实线)在(f) Δt=3 h; (g) Δt=6 h; (h) Δt=12 h; (i) Δt=24 h的演化图，虚线表示初始电子PSD
Figure 6.
(a—e) Two-dimensional temporal evolution of electric PSD under the impact of MS waves at the indicated interaction time stamps; (f—i) The temporal evolution of simulated electron PSDs (the solid lines) at (f) Δt=3 h; (g) Δt=6 h; (h) Δt=12 h; (i) Δt=24 h at L=4.36, with dashed line representing initial electron PSD
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