Abstract

Encouraged by the excellent agreement between the hydrodynamic model and the molecular dynamic calculation of the linear velocity autocorrelation function of an atom translating in a simple fluid, a similar treatment is extended to the angular velocity autocorrelation function (AVCF) of rotating Brownian particles. Both the inertia and viscoelastic effects are simultaneously included in our hydrodynamic fluctuation model. An inertia dependent drag torque is used and a Maxwell viscoelastic relaxation time is introduced. The autocorrelation functions for the random torque and angular velocity are solved analytically and are given in closed form. By choosing physically reasonable values for the viscoelastic parameters, good agreement is obtained with the AVCF determined by molecular dynamic calculation.

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