The effect on the dynamical structure factor S(kω) due to coupling to temperature fluctuations and to the self-motion is investigated. For this purpose a phenomenological equation for the one-particle phase-space correlation function is presented and is used for explicit calculations. The equation gives for k→0, ω→0 the correct hydrodynamic results and for large values of k it gives correctly the single-particle motion. Detailed comparisons with experimental and molecular-dynamics results are presented for liquid argon and rubidium.
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Sjodin et al. (1978) studied this question.