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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 9, Pages 1635–1644 (Mi zvmmf10452)  

This article is cited in 2 scientific papers (total in 2 papers)

Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field

S. L. Ginzburg, V. F. Dyachenko, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

Abstract: The evolution of a collisionless electron-proton plasma in the self-consistent approximation is investigated. The plasma is assumed to move initially as a whole in a vacuum with the Lorentz factor. The behavior of the dynamical system is analyzed by applying a three-dimensional model based on the Vlasov–Maxwell equations with allowance for retarded potentials. It is shown that the analysis of the solution to the problem is not valid in the “center-of-mass frame” of the plasmoid (since it cannot be correctly defined for a relativistic plasma interacting via an electromagnetic field) and the transition to a laboratory frame of reference is required. In the course of problem solving, a chaotic electromagnetic field is generated by the plasma particles. As a result, the particle distribution functions in the phase space change substantially and differ from their Maxwell–Juttner form. Computations show that the kinetic energies of the electron and proton components and the energy of the self-consistent electromagnetic field become identical. A tendency to the isotropization of the particle momentum distribution in the direction of the initial plasmoid motion is observed.

Key words: ultrarelativistic particles, self-consistent field, distribution function, electronЦproton plasma, Vlasov–Maxwell equations, energy equipartition, Hurst exponent.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00670_а
14-29-06086_офи_м


DOI: https://doi.org/10.7868/S0044466916090064

Full text: PDF file (392 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:9, 1611–1619

Bibliographic databases:

Document Type: Article
UDC: 519.634
Received: 07.09.2015

Citation: S. L. Ginzburg, V. F. Dyachenko, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1635–1644; Comput. Math. Math. Phys., 56:9 (2016), 1611–1619

Citation in format AMSBIB
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\paper Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 56
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\pages 1635--1644
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\jour Comput. Math. Math. Phys.
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    This publication is cited in the following articles:
    1. N. N. Fimin, V. M. Chechetkin, “Dinamicheskie svoistva sistem chastits v metrike Kruskala–Shekeresa”, Preprinty IPM im. M. V. Keldysha, 2018, 215, 17 pp.  mathnet  crossref
    2. N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Analiticheskoe issledovanie dinamiki massivnykh chastits v metrike Kruskala”, Matem. modelirovanie, 31:3 (2019), 55–68  mathnet  crossref  elib
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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