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...

We investigate how universal the collective behavior, due to the many-body interactions in polydisperse hard-sphere systems, is at higher volume fractions. We perform two types of computer simulations, a Brownian-dynamics simulation on colloidal suspensions of hard spheres, where the...

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...

This paper compares simulation and experiment to verify how a hard-sphere fluid is different from a suspension of hard-sphere colloids near the glass transition at 6% polydispersity. This is done by performing extensive molecular-dynamic simulations and by analyzing the resultant mean-square...

A new viewpoint on the kinetics of Ostwald ripening is presented by studying the kinetic equation recently derived for the late stage of phase separation. It is shown that the average droplet radius grows as t13 and the number density of droplets decays as t-1. An important effect of a soft...

We investigate the dynamics of phase separations in quenched binary mixtures, such as binary alloys and polymer blends with low mobilities, at higher volume fractions. Computer simulations are performed using simple model equations in the presence of encounters of droplets. Four characteristics...

The time-convolutionless mode-coupling theory (TMCT) equation for the intermediate scattering function fα(q,t) derived recently by the present author is analyzed mathematically and numerically, where α=c stands for a collective case and α=s for a self case. All the mathematical formulations...

The experimental and the simulation results for the mean-square displacements in eight different systems (four suspensions of colloids and four molecular systems) are analyzed near their glass transitions by the mean-field theory recently proposed. The dependence of various physical quantities...

The short-time self-diffusion of highly charged colloids is studied theoretically. Generalized Langevin equations for the momenta of colloids are derived from a statistical–mechanical point of view. The mean-square displacement of colloids is then calculated for short times. The finite size...

A formal theory of finding a nonlinear stochastic diffusion equation for density fluctuations in a suspension of colloidal hard spheres, which enables us to study the influence of solvent-mediated hydrodynamic interactions between particles as well as the direct interactions, is presented with...