Averaged Potentials and the Viscosity of Dilute Polar Gases

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Abstract
The collision integral Ω(2,2)* for the viscosity of a single dilute polar gas has been obtained for a central pair potential which is an average of the Stockmayer potential over all orientation of the dipoles. Comparison is made between the canonical average potential and the free-energy average potential up to a second-order approximation. The collision integrals from the two types of average potential and the average, over all orientations, of the collision integrals calculated directly from the Stockmayer potential on the basis of the fixed orientation approximation are also compared. It is found that both average potentials lead to collision integrals that differ significantly from those based on the more reasonable model of fixed orientations during collisions. However, the collision integrals from the free-energy average potential show better agreement than those obtained from the canonical average potential. A similar trend is observed with respect to the second virial coefficients of several polar gases.

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