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Analytical description for energetic particle pitch angle and momentum evolution in an expanding magnetic flux rope

机译:膨胀磁通量绳索中高能粒子的俯仰角和动量演化的解析描述

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We have investigated the energetic particle transport in an interplanetary space, especially, in an expanding magnetic flux rope. The energetic particle transport in the interplanetary space is usually described by the Fokker- Planck equation including effects of pitch angle diffusion, adiabatic focusing, and adiabatic deceleration. However, for the particle transport in expanding magnetic flux rope, we have no explicit expression for pitch angle and momentum evolution such as adiabatic focusing and deceleration. In this study, we derive analytical descriptions for pitch angle evolution and momentum loss rate of energetic particles in the expanding magnetic flux rope and compare the analytical solution with numerical simulation results. The analytical solutions with ignoring particle gyration do not reproduce the results of numerical simulation even when the particle Larmor radius is several orders of magnitude smaller than the flux rope radius. Taking an effect of particle gyration into consideration, our analytical solutions correspond to the results of numerical simulations. Our analytical expression for the pitch angle evolution and momentum loss rate can be used as a pitch angle and momentum evolution term in the Fokker-Planck equation for energetic particle transport in an expanding magnetic flux rope.
机译:我们研究了在行星际空间,特别是在膨胀的磁通量绳索中的高能粒子传输。通常用Fokker-Planck方程描述行星际空间中的高能粒子传输,包括俯仰角扩散,绝热聚焦和绝热减速的影响。但是,对于膨胀磁通绳中的粒子传输,我们没有明确表示俯仰角和动量演化(如绝热聚焦和减速)。在这项研究中,我们获得了膨胀磁通量绳中高能粒子的俯仰角演变和动量损失率的解析描述,并将解析解与数值模拟结果进行了比较。即使粒子拉莫尔半径比通量绳半径小几个数量级,忽略粒子旋转的分析解决方案也不会重现数值模拟的结果。考虑到粒子旋转的影响,我们的解析解与数值模拟的结果相对应。我们对俯仰角演变和动量损失率的解析表达式可以用作Fokker-Planck方程中用于膨胀磁通量绳中高能粒子传输的俯仰角和动量演变项。

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