Abstract

The propagation of cosmic rays in the interplanetary medium is considered based on the kinetic Fokker–Planck equation. The analytical expression for the anisotropic part of the cosmic ray distribution function is derived in the approximation of small anisotropy. It is shown that, under isotropic scattering of energetic charged particles on interplanetary magnetic field fluctuations, the cosmic ray distribution function depends exponentially on the cosine of the angle between the particle velocity and radial direction. The expression for the cosmic ray flux density is obtained. It is shown that the value of the particle flux density is defined by the spatial distribution of the cosmic ray density and by the temporal dependence of the particle density. The cosmic ray transport equations have been derived (the hyperdiffusion equation and the telegraph equation). On the basis of these equations, the spatiotemporal distribution of solar cosmic ray intensity and the anisotropy of the particle angular distribution are investigated.

中文翻译：

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扩散近似中的宇宙射线通量

摘要

宇宙射线在行星际介质中的传播是基于动力学 Fokker-Planck 方程考虑的。宇宙射线分布函数各向异性部分的解析表达式是在小各向异性的近似中推导出来的。结果表明，在高能带电粒子对行星际磁场波动的各向同性散射作用下，宇宙射线分布函数与粒子速度与径向夹角的余弦呈指数关系。获得了宇宙射线通量密度的表达式。结果表明，粒子通量密度的值由宇宙射线密度的空间分布和粒子密度的时间依赖性定义。已经推导出宇宙射线传输方程（超扩散方程和电报方程）。在这些方程的基础上，研究了太阳宇宙射线强度的时空分布和粒子角分布的各向异性。