  Short-time dynamics and high-frequency rheology for suspensions of
non-overlapping core-shell particles with thin shells were analyzed. In the
thin-shell limit, the single-particle scattering coefficients were derived and
shown to define a unique effective radius. This result was used to justify
theoretically (in the thin-shell limit) the accuracy of the annulus
approximation with the inner radius equal to the effective hydrodynamic radius
of the core-shell particle. The two-particle virial expansion of the
translational & rotational self-diffusion, sedimentation and viscosity was
performed. The virial coefficients were evaluated and shown to be accurately
approximated by the effective annulus model, in contrast to the imprecise
effective hard sphere model.
