A Self-Consistent Theory of Memory Function in Calssical Simple Liquids. II : Dynamical Structure Factor and Current-Current Correlation Function

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The dynamical structure factor S(k,ω) and the spectral function J(k,ω) of the current-current correlation function in classical simple liquids are studied by using the memory function formalism. A memory function appearing therein is expressed in terms of a second order memory function. By using the high-frequency expansion method the memory function is rigorously expressed in a closed form in terms of its free part and a polarization function. This formulation is shown to give a general form of the screened reponse function theory. On the assumption of a Gaussian time-dependence for the polarization fuunction, numerical calculations of S(k,ω) and J(k,ω) are made at wave number k=1.2〜4.0A^^ ゜^<-1> for liquid argon. The full width at half maximum of S(k,ω), the frequency at a peak of J(k,ω) and its peak height are also calculated. In comparing with the experimental results of neutron inelastic scattering measurements, excellent agreement is obtained in the line shape of S(k,ω) and J(k,ω).
理論物理学刊行会の論文
1977-11-25