Nonlocal hydrodynamic equations and BBGKY hierarchy reduction for hard spheres
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 394-399
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We discuss the derivation of the kinetic equation for a classical system of hard spheres based on an infinite sequence of equations for distribution functions in the BBGKY hierarchy case. It is well known that the assumption of full synchronization of all distributions leads to certain problems in describing the “tails” of the autocorrelation functions and some other correlation effects with medium or high density. We show how to avoid these difficulties by maintaining the explicit form of time-dependent dynamic correlations in the BBGKY closure scheme.
@article{TMF_1999_120_3_a3,
author = {N. G. Inozemtseva and B. I. Sadovnikov},
title = {Nonlocal hydrodynamic equations and {BBGKY} hierarchy reduction for hard spheres},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {394--399},
publisher = {mathdoc},
volume = {120},
number = {3},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a3/}
}
TY - JOUR AU - N. G. Inozemtseva AU - B. I. Sadovnikov TI - Nonlocal hydrodynamic equations and BBGKY hierarchy reduction for hard spheres JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 394 EP - 399 VL - 120 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a3/ LA - ru ID - TMF_1999_120_3_a3 ER -
%0 Journal Article %A N. G. Inozemtseva %A B. I. Sadovnikov %T Nonlocal hydrodynamic equations and BBGKY hierarchy reduction for hard spheres %J Teoretičeskaâ i matematičeskaâ fizika %D 1999 %P 394-399 %V 120 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a3/ %G ru %F TMF_1999_120_3_a3
N. G. Inozemtseva; B. I. Sadovnikov. Nonlocal hydrodynamic equations and BBGKY hierarchy reduction for hard spheres. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 394-399. http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a3/