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...

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...

Extensive molecular-dynamics simulations on two different glass-forming systems are performed to test the prediction proposed recently by the mean-field theory (MFT) of glass transition that a fragile system can be mimicked by a simpler one near their glass transitions. One is a simulation for a...

The experimental and the simulation results for the mean-square displacements in various systems are analyzed near glass transitions by employing the mean-field theory recently proposed. By comparing different glass transitions with each other from a unified point view, it is then shown that the...

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 late stage of phase separation in off-critically quenched binary systems is studied from an unifying viewpoint by numerically solving not only the kinetic equation for the single droplet distribution function ƒ(R,t) but also the linear equation with the source term for the structure...

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...

A heuristic hypothesis is given for the colloidal glass transition on the basis of the theoretical analyses of experimental data from a unified viewpoint obtained recently by the present author. Three regions, a liquid region, a supercooled liquid region, and a glass region, are distinguished....

The importance of the dynamic anomaly of the self-diffusion coefficient, which becomes zero at the colloidal glass transition volume fraction φg as DS∼(1−Φ(x,t)/φg)2, has recently been emphasized for understanding structural slowing down in concentrated hard-sphere colloidal suspensions,...