Abstract:
The kinetic equation for low energy electrons, which appears in the gas under the impact of ionizing radiation, is considered. The elastic, inelastic and ionization collisions between electrons and gas molecules and the interaction with the external electric field are taken into account in the kinetic equation. The process of the conduction current is considered. Small parameter is re-vealed which is the ratio of energy, accumulated by the electron between collisions and thermal energy. The approximate solution of the kinetic equation for electron's concentration and flux is obtained. The result is the quadrature formulae for electronic conductivity calculation in the model of radiation electromagnetic field.
Keywords:
kinetic equation, radiational conductivity, model collision integral.
Citation:
M. B. Markov, S. V. Parot'kin, “The kinetic model of the gas radiational conductivity”, Mat. Model., 23:4 (2011), 41–56; Math. Models Comput. Simul., 3:6 (2011), 712–722
\Bibitem{MarPar11}
\by M.~B.~Markov, S.~V.~Parot'kin
\paper The kinetic model of the gas radiational conductivity
\jour Mat. Model.
\yr 2011
\vol 23
\issue 4
\pages 41--56
\mathnet{http://mi.mathnet.ru/mm3096}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2859115}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 6
\pages 712--722
\crossref{https://doi.org/10.1134/S207004821106007X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928998355}
Linking options:
https://www.mathnet.ru/eng/mm3096
https://www.mathnet.ru/eng/mm/v23/i4/p41
This publication is cited in the following 11 articles:
A. V. Berezin, M. B. Markov, O. S. Kosarev, S. V. Parot'kin, I. A. Tarakanov, “On the simulation of gas ionization by fast electrons”, Math. Models Comput. Simul., 14:4 (2022), 625–632
A. V. Berezin, A. S. Dukhanin, O. S. Kosarev, M. B. Markov, S. V. Parotkin, Yu. V. Pomazan, I. A. Tarakanov, “O modelirovanii ionizatsii gaza bystrymi elektronami”, Preprinty IPM im. M. V. Keldysha, 2021, 046, 12 pp.
F. N. Voronin, A. S. Dukhanin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, Yu. V. Pomazan, I. A. Tarakanov, “Radiation transport simulation in an electron accelerator”, Keldysh Institute preprints, 2021, 47–14
F. N. Voronin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, I. A. Tarakanov, “Simulation of the capacitor discharge current in the bremsstrahlung of the electron accelerator”, Math. Models Comput. Simul., 14:4 (2022), 567–577
M. B. Markov, S. V. Parot'kin, “Modeling of the stationary electromagnetic field based on the Maxwell equations”, Math. Models Comput. Simul., 13:2 (2021), 254–262
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.
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.
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.
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
Inozemtseva K.K. Markov M.B. Voronin F.N., “The Electromagnetic and Thermomechanical Effects of Electron Beam on the Solid Barrier”, Math. Montisnigri, 39 (2017), 79–100
A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Comput. Math. Math. Phys., 55:9 (2015), 1534–1546
Citation in format AMSBIB
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