The statics and dynamics of smectic C (and C∗) liquid crystals has been a long-standing topic for investigations. All the previous descriptions, however, have been restricted in some sense. Either the theories were linear, or flat layers were assumed, or the layer thickness was taken to be...

A gas kinetic method for simulating ideal fluids based on the BGK equation is described. The method is extended to model nonideal fluids. The method developed is used to simulate systems described by a Cahn–Hilliard equation coupled to a fluid equation. The results of simulations of binary...

In the present work we derive hydrodynamic equations for the infinite, rarified, smooth, non-homogeneous spherical granular gas. The long-time behavior of these equations is analyzed and we show that the diffusive modes become negligible compared to the propagating modes of the system. This...

We investigate several means of coupling between a sonoluminescing bubble and an applied magnetic field. Recent experiments show a strong quadratic dependence between the forcing pressures required for stable sonoluminescence and magnetic field amplitude. However, all coupling mechanisms...

Microscopic simulations of plane Poiseuille flow for a dilute gas are presented. Although the flow is laminar (Reynolds number ≈10) and sub-sonic, the temperature and pressure profiles measured in the simulations differ qualitatively from the hydrodynamic predictions. The results are in...

We report on details of a simulation technique for particles under quasi-static motion determined by a balance of conservative and dissipative interactions acting at the pair level. We develop frame-invariant and linear viscous interactions between pairs of translating and rotating spheres in a...

Using Zubarev's method of nonequilibrium statistical operator, the generalized hydrodynamic equations are obtained for a model of magnetic liquid in an inhomogeneous external field. In this model the “liquid” subsystem is treated as a classical one and the “magnetic” subsystem is...