Statistical theory of nonuniform systems and reduced description in the density fluctuation theory
I.I. Narkevich
Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 1, 167-192
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.
Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:1:p:167-192
DOI: 10.1016/0378-4371(82)90213-8
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