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Matem. Mod., 2007, Volume 19, Number 2, Pages 112–122 (Mi mm930)  

This article is cited in 10 scientific papers (total in 10 papers)

The numerical solution of the Fokker–Planck equation for modeling of particle distribution in solar magnetic traps

S. P. Gorbikova, V. F. Melnikovb

a Nizhny Novgorod State University of Architecture and Civil Engineering
b Scientific Research Institute of Radio Physics

Abstract: The problem of mathematical physics on the base of the Fokker–Planck equation for modeling of the dynamics of energetic electron distribution along a solar flaring loop is set. A finite difference method of its solution and original testing method are proposed. Numerical experiments taking into account specific conditions in flaring loops are conducted.

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Received: 20.12.2005

Citation: S. P. Gorbikov, V. F. Melnikov, “The numerical solution of the Fokker–Planck equation for modeling of particle distribution in solar magnetic traps”, Matem. Mod., 19:2 (2007), 112–122

Citation in format AMSBIB
\by S.~P.~Gorbikov, V.~F.~Melnikov
\paper The numerical solution of the Fokker--Planck equation for modeling of particle distribution in solar magnetic traps
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 2
\pages 112--122

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    This publication is cited in the following articles:
    1. Reznikova V.E., Melnikov V.F., Shibasaki K., Gorbikov S.P., Pyatakov N.P., Myagkova I.N., Ji H., “2002 August 24 Limb Flare Loop: dynamics of microwave brightness distribution”, Astrophys. J., 697:1 (2009), 735–746  crossref  adsnasa  isi  scopus
    2. Melnikov V.F., Gorbikov S.P., Pyatakov N.P., “Formation of anisotropic distributions of mildly relativistic electrons in flaring loops”, Universal heliophysical processes, IAU Symposium Proc. Series, 4, no. 257, eds. Gopalswamy N., Webg D., Cambridge Univ. Press, 2009, 323–328  crossref  adsnasa  isi
    3. Reznikova V.E., Melnikov V.F., Ji H., Shibasaki K., “Dynamics of the flaring loop system of 2005 August 22 observed in microwaves and hard X-rays”, Astrophys. J., 724:1 (2010), 171–181  crossref  adsnasa  isi  scopus
    4. Reznikova V.E., Shibasaki K., “Flare quasi-periodic pulsations with growing periodicity”, Astron. Astrophys., 525 (2011), A112, 7 pp.  crossref  isi  scopus
    5. Kuznetsov S.A., Melnikov V.F., “Modeling the effect of plasma density on the dynamics of the microwave spectrum of solar flaring loops”, Geomagn. Aeron., 52:7 (2012), 883–891  crossref  isi  elib  scopus
    6. Vatagin P.V., Charikov Yu.E., Stepanov A.V., Kudryavtsev I.V., “Dynamics of accelerated electron beams and X rays in solar flares with sub-THz radiation”, Geomagn. Aeron., 52:8 (2012), 1015–1020  crossref  isi  elib  scopus
    7. Charikov Yu.E., Mel'nikov V.F., Kudryavtsev I.V., “Intensity and polarization of the hard X-ray radiation of solar flares at the top and footpoints of a magnetic loop”, Geomagn. Aeron., 52:8 (2012), 1021–1031  crossref  isi  elib  scopus
    8. Reznikova V.E., Melnikov V.F., Shibasaki K., “Microwave Diagnostics of the Acceleration Site Position and Pitch-Angle Anisotropy of Energetic Electrons in the Flare 24 Aug 2002”, Hinode-3: the 3rd Hinode Science Meeting, Astronomical Society of the Pacific Conference Series, 454, eds. Sekii T., Watanabe T., Sakurai T., Astronomical Soc. Pacific, 2012, 325–328  adsnasa  isi
    9. Melnikov V.F., Charikov Yu.E., Kudryavtsev I.V., “Spatial Brightness Distribution of Hard X-Ray Emission Along Flare Loops”, Geomagn. Aeron., 53:7 (2013), 863–866  crossref  isi  elib  scopus
    10. Kuznetsov A.A., Kontar E.P., “Spatially Resolved Energetic Electron Properties For the 21 May 2004 Flare From Radio Observations and 3D Simulations”, Sol. Phys., 290:1 (2015), 79–93  crossref  mathscinet  adsnasa  isi  elib  scopus
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