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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1982 Volume 53, Number 1, Pages 68–76 (Mi tmf2608)

This article is cited in 2 papers

Expansion of single-particle distribution functions with respect to effective long-range potentials

V. L. Kuz'min


Abstract: For a classical system of interacting particles with charges and rigid dipole moments an expansion is constructed with respect to irreducible diagrams for the single-particle distribution function by resummation of the functional series with respect to the electrostatic part of the interaction. This expansion is a series in an effective “dressed” potential, and in contrast to the original expansion does not contain long-range Coulomb divergences. As an illustration, the asymptotic behavior of the single-particle distribution function in the surface layer of a polar liquid is obtained on the basis of the direct selection and summation of the important diagrams.

Received: 11.11.1981


 English version:
Theoretical and Mathematical Physics, 1982, 53:1, 988–993

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© Steklov Math. Inst. of RAS, 2026