Kinetic equations for dense fluids |
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| Authors: | Mary Theodosopulu Kin-Wah Li John S. Dahler |
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| Affiliation: | 1. Faculté des Sciences , Université Libre de Bruxelles , Belgique;2. Department of Chemistry , McGill University , Montreal, Canada;3. Department of Physics , University of Minnesota , Minneapolis, Minnesota;4. Department of Chemical Engineering , University of Minnesota , Minneapolis, Minnesota;5. Department of Chemistry , University of Minnesota , Minneapolis, Minnesota |
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| Abstract: | It is demonstrated that the kinetic equation of Davis's effective potential theory follows directly from the application of well-defined approximations to the three-body correlations involved in the second equation of the BBGKY hierarchy. The same, simple mathematical techniques involved in this demonstration are used to derive two other kinetic equations, one of which is a generalization to high densities of the Boltzmann equation. In order to facilitate its application to the calculation of the van Hove and other correlation functions, the kinetic equation of the effective potential theory is Fourier-Laplace transformed: explicit formulae are given for the matrix elements of all operators that occur in this equation. |
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