Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 3, pp. 298-306
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The grand statistical ensemble of a random number of particles for which the dynamics of the $n$-particle states is described by the Kolmogorov–Feller equations is considered. A BBGKY hierarchy corresponding to these equations is constructed. In the limit of a weak interaction and a large average number of particles, it is established that there is a connection between the solutions of the limiting hierarchy of equations and the solutions of the Boltzmann equation.
@article{TMF_1981_49_3_a1,
author = {V. P. Belavkin and V. P. Maslov and S. \`E. Tariverdiev},
title = {Asymptotic dynamics of a~system of a~large number of particles described by the {Kolmogorov--Feller} equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {298--306},
publisher = {mathdoc},
volume = {49},
number = {3},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_3_a1/}
}
TY - JOUR AU - V. P. Belavkin AU - V. P. Maslov AU - S. È. Tariverdiev TI - Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1981 SP - 298 EP - 306 VL - 49 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1981_49_3_a1/ LA - ru ID - TMF_1981_49_3_a1 ER -
%0 Journal Article %A V. P. Belavkin %A V. P. Maslov %A S. È. Tariverdiev %T Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations %J Teoretičeskaâ i matematičeskaâ fizika %D 1981 %P 298-306 %V 49 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1981_49_3_a1/ %G ru %F TMF_1981_49_3_a1
V. P. Belavkin; V. P. Maslov; S. È. Tariverdiev. Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 3, pp. 298-306. http://geodesic.mathdoc.fr/item/TMF_1981_49_3_a1/