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S.B. Karavashkin and O.N. Karavashkina

5. Comparison with conventional theoretical and experimental results

The problem of vibrations in a homogeneous chain of elastically constrained bodies has a broad application to ultrasonic vibrations in gases, liquids and solids. One of many fine surveys of theoretical and experimental results in this area has been given in [16]. Ibidem [16, p. 45] a typical plot of the phase velocity c against the pressure p and temperature T was given for the critical domain of the gas-liquid-solid transition in the carbonic acid gas (see Fig. 7)

Fig. 7. Sound velocity c in the critical domain of liquid - vapour transition in the carbonic acid gas, against the pressure p and temperature T [16, p. 45]

It has been plotted on the basis of acoustic waves experimentally studied at the ultrasonic band. This plot shows the anomalous dispersion of velocity in a low-pressure domain; an abrupt minimum of velocity whose location depends on temperature, and a fair growth of the velocity at a high-pressure domain. Many investigations were devoted to explain such complex regularity; the theories by Altenburg [17], Kudryavtcev [18] and Fisher [19] stand out among them.