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...

Linear relaxation, occurring in dielectrics, viscoelastic fluids, and many other systems, is often characterized by a broad continuous spectrum. We show that the relaxation behavior may be analyzed effectively by means of N-point Padé approximants, applied in the complex plane of the square...

We study the high frequency effective viscosity of suspensions of spherical particles and of emulsions of spherical fluid droplets. Assuming that in the bulk of the dispersion the distribution of particles on average is uniform and isotropic we derive an exact expression for the effective...

In linear approximation a number of rigid bodies, immersed in a viscous incompressible fluid, to which at time zero arbitrary small translational and rotational impulses are imparted, move collectively at long times with a common translational velocity which slowly decays to zero. The proof of...

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...

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...