Geodesic
Stochastic approach and functional models in the kinetic theory of gases
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 224-239 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The stochastic approach [1] is applied to the theory of nonequilibrum processes in a correlated and fluctuating gas with binary collisions. Markov processes are considered that make it possible to treat in a unified manner the fluctuation and dissipation properties of a nonequilibrium system when its evolution is described on space-time scales characteristic of the kinetic theory. A nonlinear stochastic equation is obtained for the singleparticle density that is suitable for describing large fluctuations in unstable and strongly correlated states of a nonequitibrium gas. 
@article{TMF_1978_36_2_a6,
     author = {O. A. Grechannyi},
     title = {Stochastic approach and functional models in the kinetic theory of gases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--239},
     year = {1978},
     volume = {36},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a6/}
}
TY  - JOUR
AU  - O. A. Grechannyi
TI  - Stochastic approach and functional models in the kinetic theory of gases
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 224
EP  - 239
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a6/
LA  - ru
ID  - TMF_1978_36_2_a6
ER  - 
%0 Journal Article
%A O. A. Grechannyi
%T Stochastic approach and functional models in the kinetic theory of gases
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 224-239
%V 36
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a6/
%G ru
%F TMF_1978_36_2_a6
O. A. Grechannyi. Stochastic approach and functional models in the kinetic theory of gases. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 224-239. http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a6/

[1] E. V. Tolubinskii, Teoriya protsessov perenosa, «Naukova dumka», Kiev, 1969 | Zbl

[2] Yu. L. Klimontovich, Kineticheskaya teoriya neidealnogo gaza i neidealnoi plazmy, «Nauka», 1975 | MR

[3] V. V. Struminskii, DAN SSSR, 169 (1966), 58

[4] V. N. Zhigulev, TMF, 7 (1971), 271

[5] A. D. Khonkin, TMF, 9 (1971), 291

[6] Yu. L. Klimontovich, TMF, 9 (1971), 109

[7] B. Leaf, Physica, 72 (1974), 131 | DOI | MR

[8] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 | MR

[9] I. Hosokawa, J. Math. Phys., 8 (1967), 221 | DOI | Zbl

[10] I. Hosokawa, J. Math. Phys., 11 (1970), 657 | DOI

[11] V. Feller, Vvedenie v teoriyu veroyatnostei i ee prilozheniya, «Mir», 1967 | MR

[12] L. Boltsman, Lektsii po teorii gazov, GITTL, 1953

[13] O. A. Grechannyi, Teplofizika i teplotekhnika, 30 (1976), 28

[14] L. D. Landau, ZhETF, 7 (1937), 203 | Zbl

[15] N. N. Bogolyubov, O nekotorykh statisticheskikh metodakh v matematicheskoi fizike, Izd-vo AN USSR, 1945 | MR