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Truncation procedure for high order reduced distribution functions

Author

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  • Vikhrenko, V.S.
  • Bokun, G.S.

Abstract

The concept of the average force potentials is used to develop the truncation procedure for an arbitrary equation of the chain. The closed system of integral equations for the average force potentials is formulated. In the case when the truncation approximation involves the four-particle distribution function the expression for the configurational integral is derived. The internal energy and the pressure calculated in terms of the binary distribution function are thermodynamically compatible.

Suggested Citation

  • Vikhrenko, V.S. & Bokun, G.S., 1978. "Truncation procedure for high order reduced distribution functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 587-596.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:3:p:587-596
    DOI: 10.1016/0378-4371(78)90011-0
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    Cited by:

    1. Narkevich, I.I., 1982. "Statistical theory of nonuniform systems and reduced description in the density fluctuation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 167-192.
    2. Zakharov, A.V. & Aero, E.L., 1989. "Statistical mechanical theory of polar fluids for all densities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(2), pages 157-165.
    3. Vikhrenko, V.S. & Bokun, G.S. & Kulak, M.I., 1980. "Truncation procedure for high order reduced distribution functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(2), pages 397-416.

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