The stochastic modeling of the short-time variations of the galactic cosmic rays

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Wawrzynczak, A.^1 ; Modzelewska, R.^2

Institute of Computer Sciences, Siedlce University, Poland^1

Institute of Mathematics and Physics, Siedlce University, Poland^2

关键词: Galactic cosmic rays;    Non-stationary transports;    Numerical scheme;    Numerical solution;    Stochastic differential equations;    Stochastic Runge-Kutta methods;    Transport equation;    Turbulent medium;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012001/pdf
DOI  :  10.1088/1742-6596/738/1/012001

来源: IOP

【 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.