We derive an expression for the wavenumber- and frequency-dependent diffusion coefficient of a system of interacting Brownian particles with direct and hydrodynamic interactions. The expression is valid to first order in the volume fraction occupied by particles and provides a suitable starting...

We study hydrodynamic interactions in suspensions with periodic boundary conditions with the purpose of performing computer simulations with many particles per unit cell. The use of periodic boundary conditions minimizes surface effects. The formulation of the problem is complicated due to the...

We derive ‘antenna theorems’ in elastodynamics for the displacement field generated by a force density located at a spherical surface. On the basis of these theorems we derive an expression for an integral of the Green's function of linear elastodynamics. The integral corresponds to the...

The transient survival probability of a particle diffusing in a disordered system of perfectly absorbing non-overlapping spherical sinks is studied by use of a self-consistent cluster expansion for its Laplace transform. The self-consistent cluster expansion, which in principle is exact, is...

The nonlinear self-consistent Smoluchowski equation for the distribution of orientations in a colloidal suspension of elongated molecules is solved for situations with uniaxial symmetry in the framework of the Maier–Saupe model. The axis of symmetry corresponds to the direction of an applied...

The problem of escape of a particle by diffusion from a parabolic potential well across a parabolic barrier adjacent to free space is studied on the basis of the one-dimensional Smoluchowski equation for the space- and time-dependent probability distribution. For the model potential the...

Sedimentation of a dilute disordered suspension of spherical particles in a viscous incompressible fluid is studied in the limit of low Reynolds number. The static structure factor and the velocity correlation functions of the suspended particles are shown to exhibit screening for a class of...

The problem of diffusion of a particle in a bistable potential is studied on the basis of the one-dimensional Smoluchowski equation for the space- and time-dependent probability distribution. The potential is modeled as two parabolic wells separated by a parabolic barrier. For the model...

The problem of escape of a particle by diffusion from a square potential well across a square barrier is studied on the basis of the one-dimensional Smoluchowski equation for the space- and time-dependent probability distribution. For the model potential the Smoluchowski equation is solved...

The escape by diffusion of a particle from a potential well in one dimension is strongly influenced by the application of a field in the adjacent half-space. At long times the probability distribution becomes a uniformly moving and steadily broadening gaussian in this half-space. The mean time...