A microscopic derivation of the translational and rotational friction coefficients for a Browian particle in a dilute rough sphere fluid is presented. A projection operator method is used to couple the test particlersquo;s motion to the collective fluid fields, and the resulting generalized Langevin equations are averaged over fluctuations to yield source hydrodynamic equations. After averaging over the surface and volume of the spherical Brownian particle, these equations are algebraically manipulated to give expressions for the force and torque exerted on the tagged particle by the surrounding fluid. The Stokesrsquo; law relations, for partial stick boundary conditions, are obtained.
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