Abstract
The hierarchy of the Mori-Zwanzing continued fraction representation has been studied by expressing the memory function in terms of its lower-order memory function. The short-time behavior of the memory function is exactly incorporated through sum rules by scaling its lower-order memory function. This scheme provides a self-consistent evaluation of the memory function and hence of the time correlation function. Expressions obtained for transport coefficients have been found to be exactly the same as those obtained by Joslin and Gray [Mol. Phys. 58, 789 (1986)]. The approach has been applied to study the velocity autocorrelation function of the Lennard-Jones fluids and a good agreement with molecular dynamics data is obtained for dense fluids. \textcopyright{} 1996 The American Physical Society.
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