Abstract
Simple liquids like alkali metals show near the melting point at small momentum transfer values a dispersion relation, which is bent upward above the adiabatic sound velocity. This is called a positive dispersion and the reason is due to shear relaxation. From the inelastic spectra a high frequency shear modulus can be deduced for the liquid. We have done coherent inelastic neutron scattering experiments on liquid rubidium at four temperatures (from 317 up to 600 K) to clarify this phenomenon. The experiment was performed at the triple-axis spectrometer with a multidetector of the Forschungsreaktor München FRM. From the inelastic excitations in the spectra we have extracted the temperature dependence of the shear modulus of liquid rubidium. The shear modulus shows a nearly linear decrease in this temperature range, but no hint for a hidden phase transition above the melting point.
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