A systematic theory for the dynamics of hard-sphere suspensions of interacting Brownian particles with both hydrodynamic and direct interactions is presented. A generalized diffusion equation is derived for concentrated suspensions. The volume fraction (φ) dependence of the short- and long-time...

The effects of spatial heterogeneities on the slow dynamics of density fluctuations are discussed both in an equilibrium colloidal suspension and in a slightly nonequilibrium colloidal suspension. The long-lived, heterogeneous glassy domains appear near the glass transition and influence the...

Slow dynamics of equilibrium hard-sphere colloidal suspensions near the glass transition is discussed from a new viewpoint by numerically solving a cubic nonlinear stochastic diffusion equation for the density fluctuation recently proposed by one of the present authors (MT). The important role...

The Fokker-Planck equation of a system of several Brownian particles immersed in a non-equilibrium bath of light particles is derived from first principles of statistical mechanics using time-dependent projection operators. The Fokker-Planck equation contains the usual equilibrium streaming and...

By introducing an order parameter that describes the geometry of clusters of particles, Liu and Oppenheim [Physica A 247 (1997) 183] developed a microscopic theory for hopping transport in glass-forming liquids. In this work we bring this theory within the frame of mode coupling theories in the...

The stochastic properties of the noise in Langevin type equations are studied. It is demonstrated that the noise is non-Gaussian and that the three point noise correlation function has an exponential decay on the slow time scale. Explicit calculations for systems containing one slow linear...

We consider a system consisting of n Brownian particles of arbitrary shape, with internal degrees of freedom, in a both of N spherical bath particles. We obtain a generalized Fokker-Planck equation for the distribution function, W(Qn,Pn,t), where Qn and Pn denote the generalized coordinates and...

Dynamical equations for the Gibbs surface excesses and bulk fields are derived using linear response theory for one-component systems. Boundary conditions linking the dynamics of the gas and liquid phases to that of the surface are obtained. In the limit where the equilibrium interfacial profile...

A generalized mode-coupling theory of the hydrodynamic variable correlations in a nonconvective classical fluid where a large temperature gradient maintains a nonequilibrium steady state is presented. The light scattering spectrum of such a system is discussed. The results are equivalent to...

Techniques for deriving the equations of motion for a heavy particle immersed in a bath of light particles have been developed for quantum systems as long as the temperature is not too low. To lowest order we obtain a Langevin equation for the momentum of the heavy particle and a Fokker-Planck...