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We report the results of calculation of diffusion coefficients forLennard-Jones liquids, based on the idea of time-scale invariance of relaxationprocesses in liquids. The results were compared with the molecular dynamicsdata for Lennard-Jones system and a good agreement of our theory with thesedata over a wide range of densities and temperatures was obtained. Bycalculations of the non-Markovity parameter we have estimated numericallystatistical memory effects of diffusion in detail.Comment: 10 pages, 3 figure

Diffusion time-scale invariance, randomization processes, and memory effects in Lennard-Jones liquids