Geodesic
On convergence of Chapman-Enskog approximations for electron transport coefficients calculations
Matematičeskoe modelirovanie, Tome 20 (2008) no. 6, pp. 86-98.

Voir la notice de l'article provenant de la source Math-Net.Ru

Calculations of electron transport coefficients (electrical and thermal conductivities) for gas-plasma mixtures are considered. These calculations are carried out in the Chapman-Enskog (ChE) approaches. The calculations with “switched out” electron-electron collisions were performed in parallel to estimate convergence of these approaches. This case is the so-called Lorentz gas for which the exact solution is known. The corresponding ChE approaches were compared with this exact solution to estimate convergence. The comparison shows that the 5th approach ensures the accuracy better than 1%. 
@article{MM_2008_20_6_a8,
     author = {N. N. Kalitkin and I. A. Panin},
     title = {On convergence of {Chapman-Enskog} approximations for electron transport coefficients calculations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {86--98},
     publisher = {mathdoc},
     volume = {20},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_6_a8/}
}
TY  - JOUR
AU  - N. N. Kalitkin
AU  - I. A. Panin
TI  - On convergence of Chapman-Enskog approximations for electron transport coefficients calculations
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 86
EP  - 98
VL  - 20
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_6_a8/
LA  - ru
ID  - MM_2008_20_6_a8
ER  - 
%0 Journal Article
%A N. N. Kalitkin
%A I. A. Panin
%T On convergence of Chapman-Enskog approximations for electron transport coefficients calculations
%J Matematičeskoe modelirovanie
%D 2008
%P 86-98
%V 20
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2008_20_6_a8/
%G ru
%F MM_2008_20_6_a8
N. N. Kalitkin; I. A. Panin. On convergence of Chapman-Enskog approximations for electron transport coefficients calculations. Matematičeskoe modelirovanie, Tome 20 (2008) no. 6, pp. 86-98. http://geodesic.mathdoc.fr/item/MM_2008_20_6_a8/

[1] S. Chepmen, T. Kauling, Matematicheskaya teoriya neodnorodnykh gazov, Izd. inostrannoi literatury, M., 1960, 511 pp. | MR

[2] R. S. Devoto, “Transport properties of ionized monatomic gases”, Physics of Fluids, 9:6 (1966), 1230–1240 | DOI

[3] C. P. Li, R. S. Devoto, “Fifth and sixth approximations to the electron transport coefficients”, Phys. of Fuids, 11:2 (1968), 448–450

[4] C. H. Kruger, M. Mitcher, U. Daybelge, “Transport properties of MHD-generator plasmas”, AIAA Journal, 6:9 (1968), 1712–1723 | DOI | MR

[5] Rolf Landshoff, “Transport phenomena in a completely ionized gas in presense of a magnetic field”, Phys. Rev., 76:7 (1949), 904–909 | DOI | Zbl

[6] Robert S. Conen, Lyman Spitzer jr., Paul McRoutly, “The electrical conductivity of an ionized gas”, Phys. Rev., 80:2 (1950), 230–238 | DOI | MR | Zbl

[7] R. Landshoff, “Convergence of the Chapman–Enskog method for a completely ionized gas”, Phys. Rev., 82:3 (1951), 442–442 | DOI

[8] L. Spitzer, Richard Harm, “Transport phenomena in a completely ionized gas”, Phys. Rev., 89:5 (1953), 977–981 | DOI | Zbl

[9] N. N. Kalitkin, “Provodimost nizkotemperaturnoi plazmy”, Teplofizika vysokikh temperatur, 6:5 (1968)

[10] V. S. Rogov, “Raschet provodimosti plazmy”, Teplofizika vysokikh temperatur, 8:4 (1970), 689

[11] V. S. Rogov, Provodimost slabo neidealnoi mnogokomponentnoi plazmy, Kand. diss., Inst. prikl. matematiki AN SSSR, 1971

[12] N. N. Kalitkin, V. V. Ermakov, “Elektronnyi perenos v plotnoi nevyrozhdennoi plazme”, Fizika plazmy, 5:3 (1979)

[13] N. N. Kalitkin, I. A. Panin, “Vychislenie elektronnogo perenosa v plazme v vysokikh priblizheniyakh Chepmena–Enskoga”, Matem. modelirovanie, 20:4 (2008), 103–116 | Zbl

[14] V. B. Mintsev, V. E. Fortov, V. K. Gryaznov, “Elektroprovodnost vysokotemperaturnoi neidealnoi plazmy”, ZhETF, 79 (1980)

[15] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatlit, M., 2001, 808 pp.

[16] Shirmer Fridrikh, “Elektroprovodnost plazmy”, Dvizhuschayasya plazma, IIL, M., 1961, 438–477

[17] E. A. Alshina, N. N. Kalitkin, I. A. Panin, I. P. Poshivailo, “Kvadratury ot funktsii s osobennostyami”, DAN, 410:1 (2006), 32–35 | MR

[18] A. P. Babichev, N. A. Babushkina, A. M. Bratkovskii i dr., Fizicheskie velichiny: Spravochnik, Energoatomizdat, M., 1991, 1232 pp.

[19] L. Khaksli, R. Krompton, Diffuziya i dreif elektronov v gazakh, Per. s angl., gl. 14, Mir, M., 1977

[20] N. M. Shlyakhov, “Splain-approksimatsii transportnykh sechenii rasseyaniya elektronov na nekotorykh atomakh i malekulakh”, Matem. modelirovanie, 21:6 (2009), 121–128 | Zbl