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Rotational diffusion of a tracer colloid particle

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  • Jones, R.B.
  • Alavi, F.N.

Abstract

We consider translational-rotational diffusion for spherical colloidal particles that carry a preferred body-fixed axis specified by a unit vector n. Using a Smoluchowski equation description we derive moment conditions for small increments in position, ΔR, and orientation, Δn, occuring in a time Δt, in the limit that Δt→0. We compare these with results derived by integration of Langevin equations and expressed in terms of rigid body rotations. We obtain Brownian dynamics update equations consistent with these moment conditions and expressible directly in terms of the position and orientation vectors, R and n. For a single particle diffusing near a hard wall in the presence of a wall potential and external torques we give numerical simulation results. The hydrodynamic interaction of particle and wall strongly inhibits both translational and rotational diffusion while coupling of translations and rotations is negligible.

Suggested Citation

  • Jones, R.B. & Alavi, F.N., 1992. "Rotational diffusion of a tracer colloid particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(3), pages 436-455.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:3:p:436-455
    DOI: 10.1016/0378-4371(92)90004-A
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    References listed on IDEAS

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    1. Cichocki, B. & Hinsen, K., 1990. "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 473-491.
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    1. Cichocki, B. & Hinsen, K., 1992. "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 133-144.
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