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We study the dependence of the excitation frequency of water along anisochore and an isotherm crossing the region of density anomaly. We have shownthat the frequency of the longitudinal excitations demonstrated anomalousdependence on temperature along the isochore. At the same time the dependencefor both longitudinal and transverse excitation frequencies on density alongthe isotherm are very modest or even negligible in rather wide range ofdensities. This kind of behavior also seems anomalous in comparison with theordinary liquids.

Anomalous behavior of dispersion of longitudinal and transverse collective excitations in water