Many-particle densities
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 136-147

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In classical systems with an arbitrary interaction determined by a set of many-particle potentials, the equations for many-particle correlations are reduced to the variational problem for the thermodynamic potential regarded as a functional depending on these correlations. The functional in the variational problem contains not only the total correlations but also the generalized direct correlations determined by the sum of chains composed of total correlations.
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     author = {\'E. A. Arinstein},
     title = {Many-particle densities},
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É. A. Arinstein. Many-particle densities. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 136-147. http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a8/