Analysis of the stochastic motion of a charged particle in a magnetic field by the Monte Carlo method on supercomputers

Abstract

We study the issues of the influence of random noise on the motion of a charged particle in a magnetic field, using the statistical modeling for solving the arising system of stochastic differential equations. We present the results of the numerical experiments carried out on the NKS-30T cluster of the Siberian Supercomputer Center at the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Division of the Russian Academy of Sciences. To analyze the numerical solutions, we use the frequency characteristics that generalize the integral curve and the phase portrait.