Time-dependent equilibrium correlation functions for interacting Brownian particles are analyzed. To this end the kinetic theory method recently proposed by Bławzdziewicz and Cichocki is used. The elementary processes (i.e. single particle diffusion and many-particle interactions) contributing...

A new generalization of the Ornstein-Zernike equation for the functions describing equilibrium correlations between two groups of particles is proposed. The generalized direct correlation functions for two groups of particles are introduced, and the integral equations relating these functions to...

We derive a cluster expansion for the wavenumber- and frequency-dependent diffusion coefficient of a suspension of interacting Brownian particles. The diffusion coefficient is expressed in terms of evolution operators of progressively increasing complexity. We expect that at low frequency only...

The theory of propagation of light through a medium of molecules with induced multipole moments of arbitrary order is studied. Positional and orientational correlations between molecules are neglected. A central result is the generalization of Lorentz's expression for the average local field...

We consider thermal fluctuations in a system with many degrees of freedom described by macroscopic equations and discuss the question how by elimination of variables one can arrive at a contracted stochastic equation for a subsystem. It is shown that for the validity of the...

The theorems derived in a previous article are employed to calculate the force density induced on a sphere moving in an incompressible fluid in nonstationary flow with mixed stick-slip boundary conditions. As applications we derive expressions of the Faxén type for the total force, the total...

We derive fluctuation theorems for dielectrics with periodic boundary conditions defined by a Bravais lattice in which the configuration of a large number of permanent dipoles in the unit cell is repeated periodically. We use the electrostatic approximation and show that it is essential to...

We formulate the solution of the linear Navier-Strokes equations for time-dependent incompresible flow about a spherical particle in terms of a scattering formalism. The solution is written as an expansion in terms of incident and scattered waves. The amplitudes of the outgoing waves are related...

We evaluate the complete diffusion matrix describing the translation and rotation of two spherically symmetric polymers in hydrodynamic interaction in a viscous fluid. Explicit results in terms of a series expansion in inverse powers of the distance l between centers is obtained by a method of...

We study the self-energy of a scalar wave propagating in a disordered static array of spherical scatterers. We employ the cluster expansion developed in a preceding article and provide detailed expressions for many contributions to the self-energy. The two-body term is covered completely. The...