Geodesic
On descriptiveness of numerical models of kinetics of a classical plasma
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 1, pp. 60-69 
V. I. Erofeev. On descriptiveness of numerical models of kinetics of a classical plasma. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 1, pp. 60-69. http://geodesic.mathdoc.fr/item/VNGU_2006_6_1_a3/
@article{VNGU_2006_6_1_a3,
     author = {V. I. Erofeev},
     title = {On descriptiveness of numerical models of kinetics of a classical plasma},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {60--69},
     year = {2006},
     volume = {6},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2006_6_1_a3/}
}
TY  - JOUR
AU  - V. I. Erofeev
TI  - On descriptiveness of numerical models of kinetics of a classical plasma
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2006
SP  - 60
EP  - 69
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VNGU_2006_6_1_a3/
LA  - ru
ID  - VNGU_2006_6_1_a3
ER  - 
%0 Journal Article
%A V. I. Erofeev
%T On descriptiveness of numerical models of kinetics of a classical plasma
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2006
%P 60-69
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/VNGU_2006_6_1_a3/
%G ru
%F VNGU_2006_6_1_a3

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

The possibilities are considered of numerical kinetic modelling of a classical plasma. An analysis is performed of the key aspects of traditional approaches to plasma kinetic studies. A substantiation is given to a method of developing kinetic equations that provide higher descriptiveness of a plasma kinetic model. The areas are discused of numerical calculations pertinent to the latter model.

[1] J. M. Dawson, “Particle simulation of plasmas”, Rev. Mod. Phys., 55:2 (1983), 403–447 | DOI

[2] V. I. Erofeev, “Collisionless dissipation of Langmuir turbulence”, Physics of Plasmas, 9:4 (2002), 1137–1149 | DOI

[3] V. I. Erofeev, “Impossibility of Vedenov–Rudakov's plasma modulational instability as one more illustration of the inappropriateness of the recipes of nonequilibrium statistical mechanics”, Physics of Plasmas, 11:6 (2004), 3284–3295 | DOI | MR

[4] V. I. Erofeev, “Langmuir wave scattering induced by electrons in a single collisionless plasma”, Journal of Fusion Energy, 19:2 (2000), 99–113 | DOI | MR

[5] V. I. Erofeev, “Influence of Langmuir turbulence on plasma electron distribution during the induced wave scattering”, Journal of Fusion Energy, 22:4 (2003), 259–275 | DOI

[6] V. I. Erofeev, “Derivation of an evolution equation for two-time correlation function”, J. Plasma Phys., 70:3 (2004), 251–270 | DOI

[7] V. I. Erofeev, “Derivation of an equation for three-wave interactions based on the Klimontovich–Dupree equation”, J. Plasma Phys., 57:2 (1997), 273–298 | DOI

[8] V. I. Erofeev, “Weak plasma turbulence theory and some other items of plasma kinetics”, Australian Journ. Phys., 51:5 (1998), 843–857 | DOI | Zbl

[9] L. M. Gorbunov, V. P. Silin, “Nelineinoe vzaimodeistvie plazmennykh voln”, ZhETF, 47:1 (1964), 200–211

[10] V. N. Tsytovich, “Razvitie predstavlenii o plazmennoi turbulentnosti”, UFN, 108:1 (1972), 143–176 | DOI

[11] V. N. Tsytovich, “Nelineinye effekty v plazme”, UFN, 90:3 (1966), 435–489

[12] V. N. Tsytovich, Nelineinye effekty v plazme, Nauka, M., 1967

[13] F. G. Bass, Ya. B. Fainberg, V. D. Shapiro, “Kvazilineinaya teoriya slaboturbulentnoi plazmy s uchetom korrelyatsii elektricheskikh polei”, ZhETF, 49:1 (1965), 329–334

[14] J. W. Gibbs, Elementary principles in statistical mechanics, developed with especial reference to the rational foundation of thermodynamics, Yale Univ. Press, New York, 1902

[15] Yu. L. Klimontovich, Statisticheskaya teoriya neravnovesnykh protsessov v plazme, MGU, M., 1964

[16] T. H. Dupree, “Kinetic theory of plasma and the electromagnetic field”, Phys. Fluids, 6:12 (1963), 1714–1729 | DOI | MR | Zbl

[17] A. A. Vlasov, “O vibratsionnykh svoistvakh elektronnogo gaza”, ZhETF, 8:3 (1938), 291–318 | Zbl

[18] V. I. Erofeev, “Novoe obosnovanie uravnenii diagrammnoi tekhniki Uailda”, ZhETF, 110:2 (1996), 756–764