Divergences in the construction of kinetic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 238-250
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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.
@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/}
}
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/
[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