Abstract
A set of multigroup equations is derived for the first three moments of the distribution function for high-energy electrons in a gas of immobile atomic particles. The equations are intended for numerical simulation of processes in a dense weakly ionized plasma with the participation of high-energy electrons, including runaway electrons.
Similar content being viewed by others
References
V. E. Golant, A. P. Zhilinskiĭ, and S. A. Sakharov, Fundamentals of Plasma Physics (Atomizdat, Moscow, 1977; Wiley, New York, 1980).
L. P. Babich and I. M. Kutsyk, in Proceedings of XXII International Conference on Phenomena in Ionized Gases (Hoboken, USA, 1995), Vol. 2, p. 149.
L. P. Babich and I. M. Kutsyk, Teplofiz. Vys. Temp. 33, 191 (1995).
L. P. Babich, K. I. Bakhov, and I. M. Kutsyk, in Proceedings of Russian Federal Nuclear Center-All-Russian Research Institute of Experimental Physics (Sarov, 2001), No. 1, p. 440.
L. P. Babich, K. I. Bakhov, R. I. Il’kaev, et al., Dokl. Akad. Nauk 388, 383 (2003).
L. P. Babich, K. I. Bakhov, R. I. Il’kaev, et al., Geomagn. Aéron. 44, 254 (2004).
A. Yu. Kudryavtsev, M. L. Kudryavtseva, and I. M. Kutsyk, Preprint VNIIEF-98 (All-Russian Research Inst. of Experimental Physics, Sarov, 2005).
A. Yu. Kudryavtsev, Candidate’s Dissertaion in Physics and Mathematics (Russian Federal Nuclear Center-All-Russian Research Inst. of Experimental Physics, Sarov, 2005).
A. Yu. Kudryavtsev, Author’s Abstract of Candidate’s Dissertaion in Physics and Mathematics (Moscow State Univ., Moscow, 2006).
R. A. Roussel-Dupré, A. V. Gurevich, T. Tunnell, and G. M. Milikh, Los Alamos Natl. Lab. Rep. LA-12601-MS (1993), p. 1.
R. A. Roussel-Dupré, A. V. Gurevich, T. Tunnell, and G. M. Milikh, Phys. Rev. E 49, 2257 (1994).
A. V. Gurevich, G. M. Milikh, and R. A. Roussel-Dupré, Phys. Lett. A 165, 463 (1992).
A. V. Gurevich, G. M. Milikh, and R. A. Roussel-Dupré, Phys. Lett. A 187, 197 (1994).
H. Bethe and U. Ashkin, in Experimental Nuclear Physics, Ed. by E. Segre (Wiley, New York, 1953; Inostrannaya Literatura, Moscow, 1955), Vol. 1, Part 2.
T. Holstein, Phys. Rev. 70, 367 (1946).
L. P. Babich, E. N. Donskoĭ, A. Yu. Kudryavtsev, et al., in Proceedings of Russian Federal Nuclear Center-All-Russian Research Institute of Experimental Physics (Sarov, 2001), No. 1, p. 432.
L. P. Babich, E. N. Donskoĭ, R. I. Il’kaev, et al., Dokl. Akad. Nauk 379, 606 (2001) [Dokl. Phys. 46, 536 (2001)].
L. P. Babich, E. N. Donskoy, I. M. Kutsyk, et al., IEEE Trans. Plasma Sci. 29, 430 (2001).
A. A. Solov’ev, A. V. Terekhin, V. A. Terekhin, and V. T. Tikhonchuk, in Proceedings of Sixth All-Russian Conference of Small Impurities in the Atmosphere. Atmospheric Electricity (Nizhni Novgorod, 2000).
L. P. Babich, Zh. Éksp. Teor. Fiz. 125, 808 (2004) [JETP 98, 707 (2004)].
L. P. Babich, Teplofiz. Vys. Temp. 33, 659 (1995).
I. A. Gol’dfaĭn, Vector Analysis and the Field Theory (Fizmatgiz, Moscow, 1962) [in Russian].
L. P. Babich, E. N. Donskoĭ, I. M. Kutsyk, and R. A. Roussel-Dupré, Dokl. Akad. Nauk 394, 320 (2004) [Dokl. Phys. 49, 35 (2004)].
L. P. Babich, E. N. Donskoy, R. I. Il’kaev, et al., Fiz. Plazmy (Moscow) 30, 666 (2004) [Plasma Phys. Rep. 30, 616 (2004)].
G. I. Marchuk, Methods for Calculating Nuclear Reactors (Gosatomizdat, Moscow, 1961) [in Russian].
L. P. Abagyan, N. O. Bazazyants, M. N. Nikolaev, and A. M. Tsibulya, Group Constants for Calculation of Reactors and Protection (Énergoizdat, Moscow, 1981) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © L.P. Babich, M.L. Kudryavtseva, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 131, No. 5, pp. 808–818.
Rights and permissions
About this article
Cite this article
Babich, L.P., Kudryavtseva, M.L. Group equations for moments of the relativistic electron distribution function in a cold gas of neutral atomic particles in an external electric field. J. Exp. Theor. Phys. 104, 704–714 (2007). https://doi.org/10.1134/S1063776107050044
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776107050044