Geodesic
Formulation of boundary conditions for the BBGKY hierarchy with allowance for local conservation laws
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 2, pp. 270-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new boundary condition for the Bogolyubov (BBGKY) hierarchy that takes into account correlations associated with local conservation laws is formulated. The explicit form of the boundary conditions is found for all reduced distribution functions. It is shown that in the simplest approximation of “binary collisions” this boundary condition leads to a kinetic equation for the single-particle distribution function in the form of the modified Enskog equation. 
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     author = {D. N. Zubarev and V. G. Morozov},
     title = {Formulation of boundary conditions for the {BBGKY} hierarchy with allowance for local conservation laws},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {270--279},
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     volume = {60},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a9/}
}
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D. N. Zubarev; V. G. Morozov. Formulation of boundary conditions for the BBGKY hierarchy with allowance for local conservation laws. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 2, pp. 270-279. http://geodesic.mathdoc.fr/item/TMF_1984_60_2_a9/

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

[2] Kawasaki K., Oppenheim I., Phys. Rev., 139:6A (1965), A1763–A1768 | DOI | MR

[3] Weinstock J., Phys. Rev., 140:2A (1965), A460–A465 | DOI | MR

[4] Rezibua P., De Lener M., Klassicheskaya kineticheskaya teoriya zhidkostei i gazov, Mir, M., 1980

[5] Hanley H., MacCarthy R., Cohen E., Physica, 60:2 (1972), 322–356 | DOI

[6] Ernst M. H., van Beijeren H., Physica, 68:3 (1973), 437–456 | DOI

[7] Resibois P., J. Stat. Phys., 20:6 (1978), 593–609 | DOI | MR

[8] Zubarev D. N., Novikov M. Yu., TMF, 13:3 (1972), 406–420

[9] Zubarev D. N., TMF, 3:2 (1970), 276–286 | MR

[10] Zubarev D. N., Neravnovesnaya statisticheskaya termodinamika, Nauka, M., 1971

[11] Zubarev D. N., Novikov M. Yu., Fortschritt der Physik, 21:12 (1973), 703–734 | DOI