Dynamical Aspects of Classical Liquids

The dynamical aspects of non-polar classical liquids are investigated by extending the Kirkwood's static treatment of the fusion to the dynamical one in a manner quite analogous to the Landau-Vlasov's formulation of the plasma oscillation. The phonon-like collective modes are obtained in the collisionless regime of which velocity is quite different from that of the ordinary sound waves in classical liquids. The dynamical behaviour of liquids near the freezing point is also considered and a non-propagating mode with a critical wave number k c somewhat similar to the entropy fluctuation mode is obtained.