Long-time tracer diffusion of nonspherical Brownian particles
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The long-time tracer-diffusion properties of a nonspherical Brownian particle that interacts with a suspension of spherical particles are studied in terms of an idealized but nontrivial two-dimensional model system. For this system, the predictions of the generalized Langevin equation approach to tracer diffusion can be calculated, and compared with the (extrapolated) results of a computer simulation experiment. In the model, the nonspherical particle is represented by a rigid linear array of [Formula Presented] (=2 or 3) spherical particles with nearest-neighbor separation [Formula Presented] We calculate the long-time rotational and (transverse and longitudinal) translational diffusion coefficients. The theory is found to reproduce qualitatively and quantitatively the main features of the extrapolated results. Finally, we also present theoretical results that derive from still simpler approximate theoretical schemes. © 2000 The American Physical Society.
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Brownian movement; Colloids; Computer simulation; Differential equations; Diffusion; Mathematical models; Suspensions (fluids); Brownian movement; Differential equations; Diffusion; Extrapolation; Brownian particles; Langevin equation; Time dependent tracer diffusion properties; Particles (particulate matter); Suspensions (fluids); Brownian particles; Computer simulation experiment; Diffusion properties; Generalized Langevin equation; Nonspherical particle; Spherical particle; Translational diffusion coefficient; Two dimensional model
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