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 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...

The frequency-dependent polarizability of an ion or metallic cluster immersed in a plasma is studied for the model of a uniform sphere with sharp boundary. The electron gas inside and outside the ion or cluster is treated in the framework of Bloch's hydrodynamic model. Due to the coupling to the...

The dielectric function of an electron-ion plasma is studied in quasistatic approximation by use of linear response theory and the technique of cluster expansion. The coherent part of the electromagnetic field is treated classically. A general expression for the susceptibility kernel is derived...

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...