{"title":"扩散近似中的宇宙射线通量","authors":"Yu. I. Fedorov","doi":"10.3103/S088459132103003X","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":681,"journal":{"name":"Kinematics and Physics of Celestial Bodies","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cosmic Ray Flux in the Diffusion Approximation\",\"authors\":\"Yu. I. Fedorov\",\"doi\":\"10.3103/S088459132103003X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":681,\"journal\":{\"name\":\"Kinematics and Physics of Celestial Bodies\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kinematics and Physics of Celestial Bodies\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S088459132103003X\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kinematics and Physics of Celestial Bodies","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S088459132103003X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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.
期刊介绍:
Kinematics and Physics of Celestial Bodies is an international peer reviewed journal that publishes original regular and review papers on positional and theoretical astronomy, Earth’s rotation and geodynamics, dynamics and physics of bodies of the Solar System, solar physics, physics of stars and interstellar medium, structure and dynamics of the Galaxy, extragalactic astronomy, atmospheric optics and astronomical climate, instruments and devices, and mathematical processing of astronomical information. The journal welcomes manuscripts from all countries in the English or Russian language.