The stochastic modeling of the short-time variations of the galactic cosmic rays
[摘要] We present the stochastic model of the galactic cosmic ray (GCR) particles transport in the heliosphere. The model is created based on the numerical solution of the Parker transport equation (PTE) describing the non-stationary transport of charged particles in the turbulent medium. We present the numerical schemes for the strong order integration of the set of the stochastic differential equations (SDEs) corresponding to the non-stationary PTE. Among the employed methods are the strong order Euler-Maruyama, Milstein and stochastic Runge- Kutta methods. We perform the selection of the method resulting in the highest agreement of the model of the 27-day variation of the GCR intensity with the experimental observations.
[发布日期] [发布机构] Institute of Computer Sciences, Siedlce University, Poland^1;Institute of Mathematics and Physics, Siedlce University, Poland^2
[效力级别] 数学 [学科分类]
[关键词] Galactic cosmic rays;Non-stationary transports;Numerical scheme;Numerical solution;Stochastic differential equations;Stochastic Runge-Kutta methods;Transport equation;Turbulent medium [时效性]
