Visco-Elastic Effect in Solutions of Simple Particles

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Abstract
Calculations are performed on a simple model to show that dilute solutions of asymmetric particles possess a frequency dependent intrinsic viscosity and a rigidity. The model used is that of a solution containing elastic dumbbells, that is, particles consisting of two rigid bodies held together by elastic forces. Part of the rigidity would also arise from inelastic dumbbells and is caused by a force, usually neglected, as a result of Brownian motion. An additional rigidity is caused by the elastic nature of the dumbbells. At sufficiently low or high frequencies the results approximate a form similar to the ordinary dispersion formula for the dielectric constants of solutions and involve two relaxation times, one at low frequencies and one at high frequencies. The results for inelastic dumbbells are described by one relaxation time and follow the usual dispersion curve for all frequencies.

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