THE ANHARMONICITY OF MOTION IN THE LIQUID-STATE AND ITS CONSEQUENCES

The Brownian motion in connection to anharmonic oscillations of partic les is taken as a basic property associated with a liquid state. The T -g, T-m transitions are discussed in this context. It is shown that co nsideration of anharmonicity leads to the strong fluctuations in ampli tudes and densities, as well as to the coexistence of double values of amplitudes and strong vibrational pulses randomly distributed in a li quid matrix. The analyses of T-g, T-m, or T-B transitions by use of th e anharmonic oscillator approach allow us to use similar mathematical tools which are so successfully used in the Voltera-Prigogine type of thermodynamics. In spite of the fact that the anharmonicity effect has already been investigated before, the full impact of ''S'' shaped amp litude hystereses on the partition function is worked out in more deta il in the present paper. (C) 1997 American Institute of Physics.