STOCHASTIC METHOD OF NUMERICAL SIMULATION OF RADIATION BELTS OF THE EARTH
A. N. Zalialov, N. V. Ivanov, A. E. Shirokov VANT. Ser.: Mat. Mod. Fiz. Proc 2024. Вып.1. С. 1829.
The paper describe a stochastic method of numerical simulation of the dynamics of relativistic electrons in radiation belts of the Earth that uses approximation of the leading center that, opposite other approaches, allows describing relaxation of relatively quick perturbations in the radiation belts of the Earth (for example, during geomagnetic storm) in the regions of low orbits. A stationary offcentered dipole is used as a physical–mathematical model of the geomagnetic field. The solution of the kinetic equation in the Fokker  Plank approximation in this method is found using a MonteCarlo method basing on the simulation of the motion of relativistic electrons along the geomagnetic line with the account for their interaction with the atmosphere. A method of splitting by physical processes into three stages is used to construct the trajectory. The motion of the electron under the effect of the magnetic field with the account for the deceleration force is computed at the first stage, electron scattering is simulated at the second stage, and its radial diffusion is simulated at the third stage. The results of the numerical solution of the test problems is compared with the results of the analytical and difference solutions. Keywords: relativistic electrons, radiation belt of the Earth, MonteCarlo method, radial diffusion.
