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Statistical theory of nonuniform systems and reduced description in the density fluctuation theory

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  • Narkevich, I.I.

Abstract

A statistical theory of nonuniform systems is developed, based on the conditional distribution method. Junior correlation functions of a nonuniform system have been used to obtain an explicit expression for the Helmholtz free energy and the effective Hamiltonian as functionals of the particle number density field. The structure of a transient layer at the liquid-gas interface and a surface sorption effect have been studied. A method of reduced description in the fluctuation theory, using the conditional correlation functions of the particle number density distribution, is suggested. An infinite system of integro-differential equations is obtained for the correlation functions introduced. A method for its truncation is proposed. As a result, the grand statistical integral, which takes into account the density field fluctuations of the system in equilibrium with a thermostat, is calculated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:167-192
    DOI: 10.1016/0378-4371(82)90213-8
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    References listed on IDEAS

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    1. Fisher, J. C. D., 1978. "A social appraisal of beverage containers recycling : A UK perspective," Resources Policy, Elsevier, vol. 4(2), pages 78-89, June.
    2. 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.
    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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    Cited by:

    1. Narkevich, I.I., 1988. "A statistical study of the defect crystal lattice relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(3), pages 659-671.

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