Geodesic
Integral equations for radial distribution functions of multicomponent mixtures on the basis of phase space scaling transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 473-482

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Scaling transformation of the phase space of a mixture component is shown to correspond to a density virtual variation of the component of a thermodynamic system. The obtained results are used to develop a technique of constructing different kinds of the generating functional to produce systems of integral equations for mixtures radial distribution functions. Empirical Tayt's equation is as well as a system of integral equations for radial distribution functions are obtained. The well-known Percus–Yevic equation and systems of equations of hypernetted chains follow from the latter equations. 
@article{TMF_1997_111_3_a12,
     author = {L. A. Bulavin and V. M. Sysoev and I. A. Fakhretdinov},
     title = {Integral equations for radial distribution functions of multicomponent mixtures on the basis of phase space scaling transformation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {473--482},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a12/}
}
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L. A. Bulavin; V. M. Sysoev; I. A. Fakhretdinov. Integral equations for radial distribution functions of multicomponent mixtures on the basis of phase space scaling transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 473-482. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a12/