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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 9, Pages 1566–1578 (Mi zvmmf10269)  

This article is cited in 15 scientific papers (total in 15 papers)

Particle method for electrons in a scattering medium

A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

Abstract: The Cauchy problem for the kinetic and electrodynamic equations describing the propagation of an electron flow in a scattering medium and generation of self-consistent electromagnetic field is considered. The electron distribution function is defined in the space of finitely supported generalized functions. Algorithms for the simulation of scattering in the approximation of single and multiple collisions in a time step are presented. Specificities of application of this algorithm in a dense scattering medium and ionized region of large volume are considered.

Key words: kinetic equations, electromagnetic equations, algorithm for simulation of scattering in approximation of single and multiple collisions, particle method.

DOI: https://doi.org/10.7868/S0044466915090069

Full text: PDF file (564 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:9, 1534–1546

Bibliographic databases:

UDC: 519.634
Received: 26.02.2015

Citation: A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1566–1578; Comput. Math. Math. Phys., 55:9 (2015), 1534–1546

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
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    2. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Model elektricheskikh i termomekhanicheskikh effektov v puchke elektronov”, Preprinty IPM im. M. V. Keldysha, 2017, 056, 20 pp.  mathnet  crossref
    3. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Algoritm modelirovaniya elektricheskikh i termomekhanicheskikh effektov v rasseivayuschemsya elektronnom puchke”, Preprinty IPM im. M. V. Keldysha, 2017, 064, 19 pp.  mathnet  crossref
    4. F. N. Voronin, K. K. Inozemtseva, M. B. Markov, “The electromagnetic and termomechanical effect of electron beam on the solid barrier”, Math. Models Comput. Simul., 10:4 (2018), 407–417  mathnet  crossref  elib
    5. V. Egorova, M. Zhukovskiy, “Handling of the radiative electron emission modeling results by use of the neural networks”, Math. Montisnigri, 38 (2017), 89–99  isi
    6. K. K. Inozemtseva, M. B. Markov, F. N. Voronin, “The electromagnetic and thermomechanical effects of electron beam on the solid barrier”, Math. Montisnigri, 39 (2017), 79–100  mathscinet  isi
    7. Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov, “Matematicheskaya model radiatsionnogo nagreva izdelii mikroelektroniki”, Preprinty IPM im. M. V. Keldysha, 2018, 099, 12 pp.  mathnet  crossref  elib
    8. V. A. Egorova, K. K. Inozemtseva, M. E. Zhukovskii, “Podkhod k modelirovaniyu radiatsionno-indutsirovannykh vtorichnykh effektov v slozhnykh tekhnicheskikh ob'ektakh”, Preprinty IPM im. M. V. Keldysha, 2018, 110, 24 pp.  mathnet  crossref  elib
    9. A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “Algoritm metoda chastits v rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 115, 12 pp.  mathnet  crossref  elib
    10. A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “O metode chastits v neodnorodnoi rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 116, 16 pp.  mathnet  crossref  elib
    11. S. S. Simakov, “Sovremennye metody matematicheskogo modelirovaniya krovotoka s pomoschyu osrednennykh modelei”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 581–604  mathnet  crossref
    12. A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “Modelirovanie elektronno-fononnogo vzaimodeistviya v kremnii”, Matem. modelirovanie, 30:12 (2018), 3–16  mathnet
    13. Alekseev M.V., Voronin F.N., Savenkov E.B., “The Model of Radiation-Induced Heat Flow in Heterogeneous Porous Materials”, AIP Conference Proceedings, 2051, eds. Panin V., Psakhie S., Fomin V., Amer Inst Physics, 2018, UNSP 020003  crossref  isi
    14. O. V. Ilin, “Modelirovanie odnomernykh nelineinykh pulsovykh voln v elastichnykh sosudakh na osnove reshetochnykh uravnenii Boltsmana”, Kompyuternye issledovaniya i modelirovanie, 11:4 (2019), 707–722  mathnet  crossref
    15. Yu. A. Volkov, M. B. Markov, “Priblizhenie Vlasova dlya gaza fononov”, Preprinty IPM im. M. V. Keldysha, 2019, 083, 15 pp.  mathnet  crossref  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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