Master equation and Bogolyubov's method of functional expansions
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 394-405 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A generalized boundary condition of correlation weakening is formulated for the Liouville equation. This enables one to obtain a pseudo-IViarkov form of the master equation by Bogolyubov's method of functional expansions. The relationship between the results and the Prigogine–Balescukinetic subdynamics is established.
@article{TMF_1973_16_3_a10,
     author = {M. Yu. Novikov},
     title = {Master equation and {Bogolyubov's} method of functional expansions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {394--405},
     year = {1973},
     volume = {16},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a10/}
}
TY  - JOUR
AU  - M. Yu. Novikov
TI  - Master equation and Bogolyubov's method of functional expansions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 394
EP  - 405
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a10/
LA  - ru
ID  - TMF_1973_16_3_a10
ER  - 
%0 Journal Article
%A M. Yu. Novikov
%T Master equation and Bogolyubov's method of functional expansions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 394-405
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a10/
%G ru
%F TMF_1973_16_3_a10
M. Yu. Novikov. Master equation and Bogolyubov's method of functional expansions. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 394-405. http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a10/

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

[2] M. Born, H. S. Green, Proc. Roy. Soc., A188 (1946), 10 | DOI | MR | Zbl

[3] J. G. Kirkwood, J. Chem. Phys., 14 (1946), 180 ; 15 (1947), 72 | DOI | DOI

[4] J. Yvon, La Théorie statistique des fluids et l'équation d'état, Actualités Scientifiques et Industrielles, 203, 1935

[5] N. N. Bogolyubov, K. P. Gurov, ZhETF, 17 (1947), 614 | MR

[6] S. Cho, Dzh. Ulenbek, Lektsii po statisticheskoi mekhanike, «Mir», 1965

[7] M. S. Green, R. A. Piccirelli, Phys. Rev., 132 (1963), 1388 | DOI | MR | Zbl

[8] A. Lenard, Ann. Phys., 10 (1960), 390 | DOI | MR | Zbl

[9] E. G. D. Cohen, T. H. Berlin, Physica, 26 (1960), 717 | DOI | Zbl

[10] L. Van Hove, Physica, 21 (1955), 512 ; 22 (1956), 343 ; 23 (1957), 441 | MR | DOI | MR | DOI | MR | Zbl

[11] R. L. Swenson, J. Math. Phys., 3 (1962), 1017 ; 4 (1963), 544 | DOI | MR | Zbl | DOI | MR

[12] S. Nakajima, Progr. Theor. Phys., 20 (1958), 948 | DOI | MR | Zbl

[13] I. Prigozhin, Neravnovesnaya statisticheskaya mekhanika, «Mir», 1964

[14] E. W. Montroll, Fundamental Problems in Statistical Mechanics, North-Holland Publ. Comp., 1962, 230–249 | MR

[15] R. J. Zwanzig, J. Chem. Phys., 33 (1960), 1338 ; Physica, 30 (1964), 1109 | DOI | MR | DOI | MR

[16] D. N. Zubarev, V. P. Kalashnikov, Physica, 56 (1971), 345 | DOI | MR

[17] D. N. Zubarev, M. Yu. Novikov, Phys. Lett., 36A (1971), 343 | DOI

[18] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Mir», 1971

[19] D. N. Zubarev, M. Yu. Novikov, TMF, 13 (1972), 406

[20] R. Balesku, Statisticheskaya mekhanika zaryazhennykh chastits, «Mir», 1967 | MR

[21] R. Balescu, Physica, 38 (1968), 98 ; 42 (1969), 464 | DOI | MR | Zbl | DOI | MR

[22] I. Prigogine, C. George, F. Henin, Physica, 45 (1969), 418 | DOI | MR

[23] R. Balescu, J. Wallenborn, Physica, 54 (1971), 477 | DOI | MR

[24] R. Balescu, T. Kotera, Physica, 33 (1967), 558 | DOI | MR | Zbl

[25] R. Balescu, T. Kotera, E. Pina, Physica, 33 (1967), 581 | DOI | Zbl

[26] G. Severne, Transport Theory and Statistical Physics, 1 (1971), 145 | DOI | MR

[27] M. Baus, Acad. Roy. Belg., Bull. Cl. Sciences, 53, 1291 ; 1332 ; (1967), 1352 | Zbl

[28] I. Prigogine, R. Balescu, Physica, 25, 281 ; (1959), 302 | DOI | MR | Zbl | DOI | MR

[29] M. A. Lavrentev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, «Nauka», 1958, str. 486 | MR

[30] N. N. Bogolyubov, Preprint P-788, OIYaI, 1961; Physikalische Abhandlungen aus der S.U., 6, 1; 118; (1962), 229

[31] D. N. Zubarev, TMF, 3 (1970), 276 | MR

[32] L. Boltsman, Lektsii po kineticheskoi teorii gazov, Gostekhizdat, 1954

[33] R. Brout, I. Prigogine, Physica, 22 (1956), 621 | DOI | MR | Zbl

[34] R. Balescu, Phys. Fluids, 3 (1960), 62 | DOI | MR