Abstract
A modified system of group equation is obtained for the first moments of high-energy electron distribution function. The system includes equations for the balance of concentration and flux density of electrons. The main difference of the proposed system from the available versions is that the terms responsible for the electron generation have been derived directly from the ionization integral. This system is used for numerical simulation of the evolution of a relativistic runaway electron avalanche in a uniform electric field. The calculated avalanche characteristics (amplification time, mean electron energy, directional velocity, energy spectrum, and spatial electron distributions) are in good agreement with the results of Monte Carlo calculations.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063776122080088/MediaObjects/11447_2022_2773_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063776122080088/MediaObjects/11447_2022_2773_Fig2_HTML.png)
Similar content being viewed by others
REFERENCES
A. V. Gurevich, G. M. Milikh, and R. Roussel-Dupre, Phys. Lett. A 165, 463 (1992).
J. R. Dwyer, D. M. Smith, and S. A. Cummer, Space Sci. Rev. 173, 133 (2012). https://doi.org/10.1007/s11214-012-9894-0
L. P. Babich, Phys. Usp. 62, 976 (2019).
J. R. Dwyer, Geophys. Res. Lett. 32, L20808 (2005). https://doi.org/10.1029/2005GL023975
A. V. Gurevich and K. P. Zybin, Phys. Usp. 44, 1119 (2001).
L. P. Babich, E. I. Bochkov, and I. M. Kutsyk, J. Exp. Theor. Phys. 112, 902 (2011).
L. P. Babich, E. I. Bochkov, J. R. Dwyer, and I. M. Kutsyk, J. Geophys. Res. 117, A09316 (2012). https://doi.org/10.1029/2012JA017799
J. R. Dwyer, N. Liu, and H. Rassoul, Geophys. Res. Lett. 40, 4067 (2013). https://doi.org/10.1002/grl.50742
L. P. Babich and E. I. Bochkov, J. Exp. Theor. Phys. 124, 701 (2017).
H. E. Tierney, R. A. Roussel-Dupre, E. M. D. Symbalisty, and W. H. Beasley, J. Geophys. Res. 110, D12109 (2005). https://doi.org/10.1029/2004JD005381
E. I. Bochkov, L. P. Babich, and I. M. Kutsyk, J. Exp. Theor. Phys. 117, 177 (2013).
V. E. Golant, A. P. Zhilinskii, and I. E. Sakharov, Principles of Plasma Physics (Atomizdat, Moscow, 1977) [in Russian].
L. P. Babich, A. Yu. Kudryavtsev, M. L. Kudryavtseva, and I. M. Kutsyk, Geomagn. Aeron. 48, 367 (2008).
L. P. Babich and M. L. Kudryavtseva, J. Exp. Theor. Phys. 104, 704 (2007).
L. P. Babich and E. I. Bochkov, J. Exp. Theor. Phys. 112, 494 (2011).
E. I. Bochkov, Plasma Phys. Rep. 48 (2022, in press).
L. P. Babich, J. Exp. Theor. Phys. 98, 707 (2004).
L. P. Babich, E. N. Donskoi, R. I. Il’kaev, I. M. Kutsyk, and R. A. Roussel-Dupre, Plasma Phys. Rep. 30, 616 (2004).
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 4: Quantum Electrodynamics (Nauka, Moscow, 1969; Pergamon, Oxford, 1982).
L. P. Babich et al., IEEE Trans. Plasma Sci. 29, 430 (2001).
L. P. Babich, Phys. Usp. 62, 1188 (2020).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Bochkov, E.I. Calculation of Parameters of a Relativistic Runaway Electron Avalanche by the Group Equation Method for Moments of the Electron Distribution Function. J. Exp. Theor. Phys. 135, 231–239 (2022). https://doi.org/10.1134/S1063776122080088
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776122080088