静磁turbulence中的俯仰角散射。I.试验粒子模拟和分析结果的有效性
Pitch-angle scattering in magnetostatic turbulence. I. Test-particle simulations and the validity of analytical results
摘要：
上下文航天器观测激发了需要一个精细的描述相空间分布函数。特别重要的是出现在福克-普朗克输运方程中的俯仰角扩散系数。目标。模拟和分析测试粒子理论进行了比较，以验证粒子传输，不允许非马尔可夫行为的扩散描述。方法.采用蒙特卡罗模拟程序对试验粒子在湍流磁场中的运动轨迹进行了模拟。从系综平均，俯仰角福克-普朗克系数是通过均方位移。结果结果表明，虽然可以获得良好的协议与分析理论的平板湍流，发现相当大的偏差为各向同性湍流。此外，所有的Fokker-Planck系数在高时间值时趋于零。
英文摘要：
Context. Spacecraft observations have motivated the need for a refined description of the phase-space distribution function. Of particular importance is the pitch-angle diffusion coefficient that occurs in the Fokker-Planck transport equation. Aims. Simulations and analytical test-particle theories are compared to verify the diffusion description of particle transport, which does not allow for non-Markovian behavior. Methods. A Monte-Carlo simulation code was used to trace the trajectories of test particles moving in turbulent magnetic fields. From the ensemble average, the pitch-angle Fokker-Planck coefficient is obtained via the mean square displacement. Results. It is shown that, while excellent agreement with analytical theories can be obtained for slab turbulence, considerable deviations are found for isotropic turbulence. In addition, all Fokker-Planck coefficients tend to zero for high time values.
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