Abstract
We have constructed a kinetic theory of Brownian motion in a rheologically complex medium—a Jeffreys fluid that is characterized by a combination of two viscosity mechanisms: ordinary and delayed. This model is shown to be much better suited for the interpretation of experiments on the microrheology of viscoelastic media than the standard Maxwell model. In particular, no oscillations of the mean-square particle displacement arise in a Jeffreys fluid, which is a nonremovable artifact of the theory of Brownian motion in a Maxwell fluid. The developed approach can to be used also consider the diffusion of particles in other complex fluids whose rheology is described by phenomenological schemes.
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Original Russian Text © Yu.L. Raikher, V.V. Rusakov, 2010, published in Zhurnal Éksperimental’noı i Teoreticheskoı Fiziki, 2010, Vol. 138, No. 5, pp. 998–1005.
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Raikher, Y.L., Rusakov, V.V. Theory of Brownian motion in a Jeffreys fluid. J. Exp. Theor. Phys. 111, 883–889 (2010). https://doi.org/10.1134/S1063776110110191
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DOI: https://doi.org/10.1134/S1063776110110191