We consider intrinsic convection near the meniscus in a sedimenting homogeneous suspension. We derive coupled equations for the volume velocity and the meniscus profile and suggest an iterative scheme to calculate both. The first order of this scheme is worked out and allows an estimate of the...

Dielectric properties of a dispersion of spheres in a background medium are studied. First the many-body electrostatic interaction problem is solved by an expansion in irreducibles tensors. The effective dielectric constant εe of the system is then calculated using a fluctuation expansion. The...

A previously developed scheme—to evaluate the (translational and rotational) mobility tensors for an arbitrary number of spheres in an unbounded fluid—is extended to include the presence of a plane wall. General expressions for the friction tensors and the fluid velocity field are also obtained.

A general scheme is presented to evaluate the mobility tensors of an arbitrary number of spheres, immersed in a viscous fluid, in a power series expansion in R-1, where R is a typical distance between spheres. Some general properties of these (translational and rotational) mobility tensors are...

A closed macroscopic system with fluctuating local properties is treated as a thermodynamic system with internal degrees of freedom. Gibb’s entropy postulate is used to define the systems’ entropy as a functional of the probability density in internal coordinate space. It is shown that...

In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we derive...

In a previous paper an explicit condition for the jump coefficients in a one-component fluid was found within the context of non-equilibrium thermodynamics for the occurence of, on the one hand, an inverted temperature profile in the vapor phase between an evaporating and a condensing liquid...

In the first paper we extended the van der Waals square gradient model for the equilibrium liquid–vapor interface to nonequilibrium systems. Both the density and the temperature depended on position and time. Heat transport and evaporation and condensation through the interface were described....

In this paper we derive formulae for the optical properties (reflection, transmission and ellipsometric coefficients) of a fluid-fluid interface. An expansion to the second order in the interfacial thickness is used. Deviations of the above-mentioned coefficients from the value found using a...

A general formalism of nonequilibrium thermodynamics of multicomponent fluids is given. Reversible parts of balance equations for the extensive variables are constructed in such a way that the growth rate of the extensive variables are related to their conjugate intensive parameters in an...