This paper describes the results of our theoretical and numerical studies of hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls, under creeping-flow conditions. We propose a novel algorithm for accurate evaluation of the many-particle...

The initial value problem for the linear Boltzmann equation describing the propagation of neutrinos in a medium composed of nuclei is rigorously solved. The structure of the equation corresponds to the Lorentz model with an angle-dependent scattering cross-section. A method yielding the rigorous...

We study the effective interaction in two-dimensional Coulomb systems with periodic boundary conditions. It is shown that the interaction may be identified with the electrostatic potential of the two-dimensional Wigner crystal. We derive a simple closed expression which approximates the...

The motion of a spherical colloidal particle suspended in a moving fluid near a planar hard wall or free surface is considered. The particle types include hard spheres with mixed slip-stick boundary conditions, droplets with high surface tension and porous particles. A general expression for the...

We study hindered settling in monodisperse suspensions of spherical particles in an incompressible viscous fluid. The sedimentation and self-diffusion coefficients are calculated in two-body approximation. We show that in a homogeneous and isotropic suspension in which the change of distribution...

We study the time-dependent intermediate scattering function of a dense colloidal suspension of hard spheres with neglect of hydrodynamic interactions. The dynamics of the suspension is assumed to be governed by the generalized Smoluchowski equation. The Laplace transform of the scattering...

A rigid body, immersed in a viscous incompressible fluid, and set in motion by a small applied torque of short duration, comes to rest very slowly. The time-dependence may be calculated from the frequency-dependent friction matrix. At long times the rotational velocity decays as t−52 with a...

The frequency-dependent electric polarizability of an ion or metallic cluster immersed in a plasma is studied in the framework of Bloch's classical hydrodynamic model. Both bound and free electrons are treated as a classical fluid moving in the potential created by the fixed ion and a uniform...

It is shown that a proposed analytical expression accurately fits simulation data of Hagen et al. (Physica A 272 (1999) 376) for the rotational velocity autocorrelation function of interacting Brownian particles. The fit is designed for intermediate and long times, but is also quite good at...

A new general formalism for a linear kinetic theory is proposed. It is based on a diagrammatic analysis of the linear integral operators containing equilibrium correlations. The diagrams are similar to the Mayer graphs but possess two kinds of root-points. This new diagrammatic technique is used...