Summary: | Single-particle time correlation function F<sub>s</sub>(k,t) of pure fluids is studied within the generalized mode approach. Analytical expression for self-intermediate scattering function, which contains oscillating terms, is obtained for three-variable basis set of single-particle dynamic variables. The meaning of oscillating contributions is discussed, and it is shown, that in low-density fluids the oscillating contributions do not appear. Our approach, developed within the five-variable scheme, is used for the analysis of MD-derived single-particle time correlation function of Lennard-Jones fluid at two densities. It is shown, that the proposed scheme allows us to reproduce perfectly the function F<sub>s</sub>(k,t) at the whole range of wavenumbers k studied. The generalized self-diffusion coefficient as a function of k is also calculated.
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