Geodesic
Divergences in the construction of kinetic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 238-250 
Yu. P. Virchenko; N. V. Laskin. Divergences in the construction of kinetic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 238-250. http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a9/
@article{TMF_1980_44_2_a9,
     author = {Yu. P. Virchenko and N. V. Laskin},
     title = {Divergences in~the construction of~kinetic equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {238--250},
     year = {1980},
     volume = {44},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a9/}
}
TY  - JOUR
AU  - Yu. P. Virchenko
AU  - N. V. Laskin
TI  - Divergences in the construction of kinetic equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 238
EP  - 250
VL  - 44
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a9/
LA  - ru
ID  - TMF_1980_44_2_a9
ER  - 
%0 Journal Article
%A Yu. P. Virchenko
%A N. V. Laskin
%T Divergences in the construction of kinetic equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 238-250
%V 44
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a9/
%G ru
%F TMF_1980_44_2_a9

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

In the framework of classical mechanics, random processes generated by the motion of particles in the field of random scaterers are considered. It is shown that the terms of the series arising at the constructing the kinetic equations for the distribution function $f(p,q;t)$ include divergencies.

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike. Izbr. tr., t. 2, «Naukova dumka», Kiev, 1970 | MR

[2] N. V. Laskin, S. V. Peletminskii, V. I. Prikhodko, TMF, 34 (1978), 244 | MR

[3] N. G. Van-Kampen, Physica, 74 (1974), 215 | DOI | MR

[4] N. G. Van-Kampen, Phys. Rep., 24C (1976), 171 | DOI | MR

[5] J. R. Dorfman, E. G. Cohen, J. Math. Phys., 8 (1967), 282 | DOI

[6] J. Weinstock, Phys. Rev., 140A (1965), 460 | DOI | MR

[7] R. Goldman, E. A. Frieman, J. Math. Phys., 7 (1966), 2153 | DOI

[8] J. U. Sengers, Phys. Fluids, 9 (1966), 1685 | DOI | MR

[9] E. G. D. Cohen, J. Math. Phys., 4 (1963), 183 | DOI | MR | Zbl

[10] A. I. Akhiezer, S. V. Peletminskii, Metody statisticheskoi fiziki, «Nauka», 1977 | MR