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Truncation procedure for high order reduced distribution functions

Author

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  • Vikhrenko, V.S.
  • Bokun, G.S.
  • Kulak, M.I.

Abstract

The problem of the compatibility of the results obtained from approximate expressions for the junior distribution functions is viewed under a broad aspect. This paper concerns the compatibility of the calculated values of not only the energy and pressure but also of the higher-order derivatives of the free energy with respect to the thermodynamic variables (such as the heat capacity) as well as of the chain of integro-differential equations, the normalization relations, and the satisfaction of the correlation weakening conditions. The degree of agreement with the requirements mentioned is suggested to be useful as a possible a priori measure of applicability of a certain approximation adopted for calculating the correlation functions over a wide range of thermodynamic variables. The consideration is made within the framework of the conditional distribution method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:100:y:1980:i:2:p:397-416
    DOI: 10.1016/0378-4371(80)90128-4
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    References listed on IDEAS

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    1. 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.
    2. Feldman, R.A. & Koehler, R.E. & Fraser, D.W., 1976. "Race specific differences in bacterial meningitis deaths in the United States, 1962 to 1968," American Journal of Public Health, American Public Health Association, vol. 66(4), pages 392-396.
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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.

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