Near-wall diffusion tensor of an axisymmetric colloidal particle
Journal of Chemical Physics
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Lisicki, M., Cichocki, B., & Wajnryb, E. (2016). Near-wall diffusion tensor of an axisymmetric colloidal particle. Journal of Chemical Physics, 145 (034904)https://doi.org/10.1063/1.4958727
Hydrodynamic interactions with confining boundaries often lead to drastic changes in the diffusive behaviour of microparticles in suspensions. For axially symmetric particles, earlier numerical studies have suggested a simple form of the near-wall diffusion matrix which depends on the distance and orientation of the particle with respect to the wall, which is usually calculated numerically. In this work, we derive explicit analytical formulae for the dominant correction to the bulk diffusion tensor of an axially symmetric colloidal particle due to the presence of a nearby no-slip wall. The relative correction scales as powers of inverse wall-particle distance and its angular structure is represented by simple functions in sines and cosines of the particle’s inclination angle to the wall. We analyse the correction for translational and rotational motion, as well as the translation-rotation coupling. Our findings provide a simple approximation to the anisotropic diffusion tensor near a wall, which completes and corrects relations known from earlier numerical and theoretical findings.
M.L. acknowledges support from the National Center of Science Grant No. 2012/07/N/ST3/03120. Part of the research has been conducted under a David Crighton Fellowship awarded to M.L. at the University of Cambridge, and within the Mobility Plus Fellowship awarded to M.L. by the Polish Ministry of Science and Higher Education.
External DOI: https://doi.org/10.1063/1.4958727
This record's URL: https://www.repository.cam.ac.uk/handle/1810/266386