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

A. A. Ivanov

doi:10.1134/S1990478917030073

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

A. A. Ivanov

Department of Natural Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	362-368
Number of pages	7
Journal	Journal of Applied and Industrial Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.1134/S1990478917030073
Publication status	Published - 1 Jul 2017

Keywords

charged particle
cumulative frequency curve
frequency phase portrait
generalized Euler’s method
magnetic field
stochastic differential equations

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10.1134/S1990478917030073

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