We study the frequency-dependent viscosity of a suspension of spherical particles on the basis of linear response theory applied to the generalized Smoluchowski equation. Hydrodynamic interactions are fully taken into account. We derive expressions for the frequency-dependent viscosity based on...

We study small-amplitude swimming of a deformable sphere in a viscous incompressible fluid. We assue that the surface displacement varies harmonically in time and calculate the resulting swimming velocity in perturbation theory to second order in the diplacement. The optimum efficiency of...

We derive Faxén theorems for the force, the torque and the symmetric force dipole moment acting on a spherically symmetric polymer suspended in arbitrary flow. The results are immediate generalizations of corresponding theorems for a hard sphere with mixed slip-stick boundary conditions.

We derive a cluster expansion for the wavenumber- and frequency-dependent diffusion coefficient of a suspension of interacting Brownian particles. The diffusion coefficient is expressed in terms of evolution operators of progressively increasing complexity. We expect that at low frequency only...

We formulate the solution of the linear Navier-Strokes equations for time-dependent incompresible flow about a spherical particle in terms of a scattering formalism. The solution is written as an expansion in terms of incident and scattered waves. The amplitudes of the outgoing waves are related...

We evaluate the complete diffusion matrix describing the translation and rotation of two spherically symmetric polymers in hydrodynamic interaction in a viscous fluid. Explicit results in terms of a series expansion in inverse powers of the distance l between centers is obtained by a method of...

We discuss the problem of sedimentation and diffusion in a suspension of interacting spherical particles. We consider external forces acting on the particles and study the linear response of density and current on the basis of the generalized Smoluchowski equation. The theory leads to a natural...

We consider hydrodynamic interactions between N rigid bodies of arbitrary shape immersed in an incompressible fluid. When the bodies are carried along by an incident flow without exerting forces or torques on the fluid then their translational and rotational velocities are linearly related to...

The time-dependence of reversible diffusion-controlled reactions in a binary suspension of equal-sized spheres is studied on the basis of the time-correlation matrix of concentration fluctuations in thermal equilibrium. The transient effects are calculated in an Enskog-type approximation from...

We study the mechanism of small-amplitude swimming of a deformable body of finite size in a viscous incompressible fluid described by the Navier-Stokes equations. The theory is based on a perturbation expansion in powers of the amplitude of surface displacements. A nonvanishing swimming velocity...