Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations.~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 225-246

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Equations for equilibrium correlation Green's functions are constructed in the framework of the general theory developed by the author [1] on the basis of various kinetic equations for single-component classical systems. The following kinetic equations are used: (Markov) Fokker–Planck, Boltzmann–Lorentz, Enskog–Lorentz (for Brownian particles), Vlasov–Landau, Boltzmann, Boltzmann–Enskog, Enskog, Rice–Allnatt, and a model kinetic equation and the (non-Markov) Vlasov–Landau equation. For systems of Brownian particles expressions are found (in the 13- and 14-moment approximations) for the density-density equilibrium correlation Green's functions, etc.
@article{TMF_1991_88_2_a3,
     author = {G. O. Balabanyan},
     title = {Construction of equations for classical equilibrium correlation {Green's} functions on the basis of kinetic {equations.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--246},
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     volume = {88},
     number = {2},
     year = {1991},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a3/}
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G. O. Balabanyan. Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations.~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 225-246. http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a3/