We present an analytical study of the dynamical process of the approach to steady state for a driven diffusive system represented by the microemulsion phase of a ternary mixture. The external applied field is given by a “plane Couette” shear flow and the problem is studied within the...

We study the one-dimensional ballistic aggregation process in the continuum limit for one-sided Brownian initial velocity (i.e. particles merge when they collide and move freely between collisions, and in the continuum limit the initial velocity on the right side is a Brownian motion that...

A one-dimensional reaction–diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and annihilation of particles. It has been shown that the...

We introduce a system of two-level atoms in one dimension which allow collision-induced radiative transitions between the two states. In addition, we subject the system to a driving force. A linear, but non-local master equation in momentum is solved exactly, illustrating three results: the...

Langevin equation for the macrovariable is derived at the level of the generating functional starting from the field theoretical microscopic Hamiltonian. The macrovariable is precisely defined first, and then the generating functional is written by the path integral over the macrovariable. For...

The motion of a spherical colloidal particle suspended in a moving fluid near a planar hard wall or free surface is considered. The particle types include hard spheres with mixed slip-stick boundary conditions, droplets with high surface tension and porous particles. A general expression for the...

We extend the multiple time scales formalism originally introduced for the Fokker–Planck equation by Wycoff and Balazs (Physica A 146 (1987) 175) to the case of simple shear flow. The analysis is carried out for small values of the Stokes number, St, a dimensionless measure of the inertia of a...

The Brownian motion of a bound particle in shear flow is a basic problem in colloid and polymer science. Since the flow has a rotational component, the description cannot be cast in the usual equilibrium statistical mechanics framework of particle motion in a potential well. Instead, the...

Based on a relaxation equation for the alignment tensor characterizing the molecular orientation in liquid crystals under flow we present results for the full orientational dynamics of homogeneous liquid crystals in a shear flow. We extend the analysis of the symmetry-adapted states by...

The hydrodynamic modes of a three-dimensional sheared granular flow are determined by solving the linearised Boltzmann equation. The steady state is determined using an expansion in the parameter ε=(1−e)1/2, and terms correct to O(ε4) are retained in the expansion. The distribution function...