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

Standard

Analysis of the stochastic motion of a charged particle in a magnetic field by the Monte Carlo method on supercomputers. / Ivanov, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 3, 01.07.2017, p. 362-368.

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

BibTeX

@article{939f2665b55c438ab7a8b67c7ef1ba26,

title = "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.",

keywords = "charged particle, cumulative frequency curve, frequency phase portrait, generalized Euler{\textquoteright}s method, magnetic field, stochastic differential equations",

author = "Ivanov, {A. A.}",

year = "2017",

month = jul,

day = "1",

doi = "10.1134/S1990478917030073",

language = "English",

volume = "11",

pages = "362--368",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Analysis of the stochastic motion of a charged particle in a magnetic field by the Monte Carlo method on supercomputers

AU - Ivanov, A. A.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - charged particle

KW - cumulative frequency curve

KW - frequency phase portrait

KW - generalized Euler’s method

KW - magnetic field

KW - stochastic differential equations

UR - http://www.scopus.com/inward/record.url?scp=85028559223&partnerID=8YFLogxK

U2 - 10.1134/S1990478917030073

DO - 10.1134/S1990478917030073

M3 - Article

AN - SCOPUS:85028559223

VL - 11

SP - 362

EP - 368

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 12028430