An expression for the force on a sphere moving with a time-dependent velocity through an incompressible fluid in nonstationary, nonhomogeneous flow is obtained for the case of arbitrary slip on the surface of the sphere.

The Langevin equations for the linear and angular velocities of a non-spherical Brownian particle are derived from the equations governing fluctuating hydrodynamics. Arbitrary slip boundary conditions are used at the surface of the particle. It is shown that it is essential to include a random...

On the basis of the conservation laws (or balance equations) for the continuously varying densities and currents describing a system with an interface between two bulk phases, interfacial densities and currents at the dividing surface are defined. It is shown that the dynamic behaviour of the...

On the basis of the Maxwell equations for the continuously varying electromagnetic fields, describing a system with an interfacial layer between two bulk phases, interfacial electromagnetic fields, charge density and currents are defined at the dividing surface. It is shown that the behaviour of...

Non-equilibrium thermodynamics is applied to a multicomponent polarizable fluid consisting of two bulk phases which are separated by an interfacial region. Mass, charge, momentum, energy and entropy densities, their respective currents, as well as the electromagnetic fields and polarization and...

The systematic theory of multiple scattering which we gave in a previous paper is further elaborated for critical scattering. It is shown that in each order the multiple-scattering intensity near the critical point is in essence a contraction of consecutive uncorrelated single-scattering...

Thermodynamic and statistical mechanical arguments indicate that the temperature derivative of the dielectric constant of fluids diverges weakly at the critical point. Following a thermodynamic procedure proposed by Mistura, we derive an expansion for the static dielectric constant of fluids...

It is shown that the assumptions of causality and time-reversal invariance severely restrict the possibility to describe the fluctuations of a variable in a nonlinear Markovian system using a Langevin equation. In fact a theorem is proven which implies that a Langevin force which is independent...

The correlation function of temperature fluctuations around homogeneous stationary states of the ballast resistor is evaluated by extending the theory of thermal fluctuations around equilibrium states to non-equilibrium situations. It is found that equal-time temperature fluctuations become...

The stability properties of inhomogeneous stationary states are discussed both for fixed current and for fixed voltage difference between the endpoints of the wire. We consider both Neumann as well as Dirichlet boundary conditions for the temperature distribution along the wire. It is found that...