We study the linear dynamics of a dilute dispersion of solid spherical particles in an incompressible viscous fluid. We start from a rest situation, in which the spheres are assumed to be distributed at random. The rest situation is perturbed linearly by small oscillatory applied forces and...

We discuss some aspects of the theory of the Hall effect in ionic solutions. We show in particular that an approximate microscopic theory of Sung and Friedman is inconsistent with a macroscopic argument.

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...

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 consider a spherical particle immersed in an incompressible fluid described by the linearized Navier-Stokes equations. The particle response to an applied time-dependent force, torque and incident flow is studied for mixed slip-stick boundary conditions. The resulting flow pattern is...

We consider particles diffusing independently in the interstitial space of a regular array of perfectly absorbing spheres. We present exact results for the steady state rate coefficient. We show that the rate coefficient may be related to the field energy of a corresponding Wigner solid which is...

We consider a free electron gas in the presence of a uniform magnetic field and confined by a cylindrically symmetric harmonic potential in the directions normal to the field. The density matrix in Boltzmann statistics is evaluated exactly and it is shown that the electron gas rotates uniformly...