Probability density functions for the translational itinerant oscillator

Abstract

The translational itinerant oscillator model for molecular motion in fluids is developed in terms of two phenomenological parameters. These are : (a) the retarding frictional force acting on a rigid cage which undergoes translational Brownian motion, and (b) the angular frequency of oscillation of a particle hamonically bound within the cage. The equations of motion contain fewer parameters than those of Damle et al. [6] and may be solved using Laplace transforms. The underlying probability density functions in phase and configuration space may then be calculated.