Particle method for electrons in a scattering medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1566-1578 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{ZVMMF_2015_55_9_a11,
     author = {A. V. Berezin and A. S. Vorontsov and M. E. Zhukovskiy and M. B. Markov and S. V. Parot'kin},
     title = {Particle method for electrons in a scattering medium},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1566--1578},
     year = {2015},
     volume = {55},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a11/}
}
TY  - JOUR
AU  - A. V. Berezin
AU  - A. S. Vorontsov
AU  - M. E. Zhukovskiy
AU  - M. B. Markov
AU  - S. V. Parot'kin
TI  - Particle method for electrons in a scattering medium
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 1566
EP  - 1578
VL  - 55
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a11/
LA  - ru
ID  - ZVMMF_2015_55_9_a11
ER  - 
%0 Journal Article
%A A. V. Berezin
%A A. S. Vorontsov
%A M. E. Zhukovskiy
%A M. B. Markov
%A S. V. Parot'kin
%T Particle method for electrons in a scattering medium
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 1566-1578
%V 55
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a11/
%G ru
%F ZVMMF_2015_55_9_a11
A. V. Berezin; A. S. Vorontsov; M. E. Zhukovskiy; M. B. Markov; S. V. Parot'kin. Particle method for electrons in a scattering medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1566-1578. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a11/

[1] Boiko V. V., Skvortsov V. V., Fortov V. E., Shamanin I., Vzaimodeistvie impulsnykh puchkov zaryazhennykh chastits s veschestvom, Fizmatlit, M., 2003

[2] Chumakov A. I., Deistvie kosmicheskoi radiatsii na integralnye skhemy, Radio i svyaz, M., 2004

[3] Gaitler L., Kvantovaya teoriya izlucheniya, Inostr. lit-ra, M., 1956

[4] Segre E. T. (red.), Eksperimentalnaya yadernaya fizika, v. 1, Inostr. lit-ra, M., 1958

[5] Akhiezer A. I., Berestetskii V. B., Kvantovaya elektrodinamika, Nauka, M., 1969

[6] Messi G., Barkhop E., Elektronnye i ionnye stolknoveniya, Mir, M., 1958

[7] Mott N., Messi G., Teoriya atomnykh stolknovenii, Mir, M., 1969

[8] Landau L. D., Lifshits E. M., Teoriya polya, Nauka, M., 1976 | MR

[9] Mak-Daniel M., Protsessy stolknovenii v ionizirovannykh gazakh, Mir, M., 1967

[10] Markov M. B., Parotkin S. V., “Kineticheskaya model radiatsionnoi provodimosti gaza”, Matem. modelirovanie, 23:4 (2011), 41–56 | MR

[11] Karlson B., Bell Dzh., “Reshenie transportnogo uravneniya $S_n$-metodom”, Trudy Vtoroi mezhdunarodnoi konferentsii po mirnomu ispolzovaniyu atomnoi energii, Izbrannye doklady inostrannykh uchenykh (Zheneva, 1958), v. 3, Atomizdat, M., 1959, 408–461

[12] Morozov V. N., “O reshenii kineticheskikh uravnenii s pomoschyu $S_n$-metoda”, Teoriya i metody rascheta yadernykh reaktorov, Gosatomizdat, M., 1962, 91–117

[13] Germogenova T. A., Lokalnye svoistva uravnenii perenosa, Nauka, M., 1986 | MR

[14] Mikhailov G. A., Vesovye metody Monte-Karlo, Izd-vo SO RAN, Novosibirsk, 2000 | MR

[15] Ermakov S. M., Metod Monte-Karlo i smezhnye voprosy, Nauka, M., 1971 | MR

[16] Braun W., Hepp K., “The Vlasov dynamics and tts fluctuations in the 1/N limit of interacting classical particles”, Commun. math. phys., 56:2 (1977), 101–113 | DOI | MR | Zbl

[17] Hockney R. W., Eastwood J. W., Computer simulation using particles, McGraw-Hill, New York, 1981

[18] Berezin A. V., Vorontsov A. S., Markov M. B., Parotkin S. V., Zakharov S. V., “Modelirovanie predproboinoi stadii gazovogo razryada”, Matem. modelirovanie, 25:3 (2013), 105–118

[19] Andrianov A. N., Berezin A. V., Vorontsov A. S., Efimkin K. N., Zinchenko V. F., Markov M. B., Chlenov A. M., “Modelirovanie puchka uskoritelya LIU-10 na parallelnom kompyutere”, Matem. modelirovanie, 22:2 (2010), 29–44

[20] Berezin A. V., Kryukov A. A., Plyuschenkov B. D., “Metod vychisleniya elektromagnitnogo polya s zadannym volnovym frontom”, Matem. modelirovanie, 23:3 (2011), 109–126 | MR | Zbl

[21] Markov M. B., “Priblizhenie odnorodnogo rasseyaniya elektronov na traektoriyakh”, Matem. modelirovanie, 21:10 (2009), 132–142

[22] Andrianov A. N., Berezin A. V., Vorontsov A. S., Efimkin K. N., Markov M. B., “Modelirovanie elektromagnitnykh polei radiatsionnogo proiskhozhdeniya na mnogoprotsessornykh vychislitelnykh sistemakh”, Matem. modelirovanie, 20:3 (2008), 98–114

[23] Markov M. B., Parotkin S. V., Sysenko A. V., “Metod chastits dlya modeli elektromagnitnogo polya potoka elektronov v gaze”, Matem. modelirovanie, 20:5 (2008), 35–54 | MR | Zbl

[24] Shilov G. E., Matematicheskii analiz. Vtoroi spetsialnyi kurs, Izd-vo MGU, M., 1984 | MR

[25] Kurant R., Uravneniya v chastnykh proizvodnykh, Mir, M., 1964 | MR

[26] Kolchuzhkin A. M., Uchaikin V. V., Vvedenie v teoriyu prokhozhdeniya chastits cherez veschestvo, Atomizdat, M., 1978 | MR

[27] Berezin A. V., Vorontsov A. S., Markov M. B., “Metod chastits v matematicheskikh modelyakh s vydelennym frontom ionizatsii”, Matem. modelirovanie, 23:12 (2011), 132–142 | MR