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...

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...

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...

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 derive expressions for the periodic fundamental solution of the linear Navier-Stokes equations for point sources located at the lattice points of a simple cubic lattice. We cast the solution, which was first found by Hasimoto, in a form suitable for fast numerical computation. The proposed...

We study the influence of hydrodynamic interactions on the Brownian motion of a semidilute suspension of hard spheres. In particular we consider the time-dependence of the mean square displacement of a selected particle, and the stress relaxation function. In the absence of hydrodynamic...

The absorption spectrum and density of states of the Drude-Lorentz model of a nonpolar fluid are studied on the basis of a statistical theory. In the dilute limit the shift and broadening of the spectral line and of the density of states, due to dipolar interactions, are described by universal...

The evolution of the one-particle distribution for a homogeneous system of hard spheres is studied. The terms in the formal density expansion of the collision operator which correspond to the class of hard sphere dynamical events involving one binary collision, the influence of other particles...