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The transverse and longitudinal current correlation functions are evaluatedin liquid and amorphous sodium by computer simulation. The study of thecorresponding spectra as a function of the wavevector $k$ allows the evaluationof a dispersion curve for their peak position. The results are compared withrecent experimental findings [PNAS 107, 21985 (2010)], obtained by a newanalysis of $S(k,{\omega})$ measured by inelastic X-ray scattering in liquidand polycrystalline sodium. A substantial agreement between experimental andcomputer simulation results is found. The analysis of the line widths supportsthe Vibration-Transit theory picture of the dynamics in liquids.

Contribution of transverse modes to the dynamics of density fluctuations