Geodesic
Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 463-480

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]3ogolyubov's functional equations for the distribution functions in statistical mechanics for equilibrium and nonequilibrium many-particle systems are studied. An analog of the transformation to "collective" variables on the basis of an exact solution of ]3ogolyubov's functional equation in the equilibrium case is proposed. ]3ogolyubov's method is used to obtain a functional equation of Kirkwood-Salsburg-Symanzik type. A path integral method is developed for constructing the generating functionals of the distribution functions. 
@article{TMF_1986_66_3_a12,
     author = {N. N. Bogolyubov (Jr.) and A. K. Prikarpatskii},
     title = {Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {463--480},
     publisher = {mathdoc},
     volume = {66},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a12/}
}
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N. N. Bogolyubov (Jr.); A. K. Prikarpatskii. Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 463-480. http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a12/