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...

We consider the problem of the elastic behaviour of a random medium composed of identical spherically symmetric inclusions, each made of a linear elastic material with varying shear and bulk moduli, distributed randomly in a uniform matrix made of a linear elastic material with moduli μ0, K0....

We study the velocity autocorrelation function for the diffusion of a spherical macromolecule in solution. The diffusion is described by a generalized Langevin equation with memory character derived previously from fluctuation theory applied to the Debye-Bueche-Brinkman equation which describes...

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 consider thermal fluctuations in a system with many degrees of freedom described by macroscopic equations and discuss the question how by elimination of variables one can arrive at a contracted stochastic equation for a subsystem. It is shown that for the validity of the...

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 consider collective diffusion and self-diffusion in a polydisperse suspension of macroparticles. Using the generalized Smoluchowski equation to describe the interacting suspension we extend Ackerson's work to derive a multispecies projection formalism for the density fluctuations. We include...

We evaluate explicitly through terms of second order in volume fraction the effective elastic moduli derived formally in a preceeding article for a random suspension of spherically symmetric inclusions in a background matrix. By interpreting the earlier formulae in terms of induced stresses on...

We present an analytical model of the tracer diffusivity of a colloid particle applicable to a suspension at a density low enough that only pair interactions of the particles need be considered. We assume a pair potential consisting of an infinitely repulsive hard core together with an...