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...

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 extensive molecular-dynamics simulations on binary mixtures A80B20 with a Stillinger–Weber potential are performed to obtain two types of glass-forming liquids near the glass transition, fragile and strong liquids. The simulations are done for different mass ratios Q(=mB/mA) under the same...

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 statistical-mechanical theory of self-diffusion in colloidal suspensions is presented. A renormalized linear Langevin equation is derived from a nonlinear Langevin equation by employing the Tokuyama–Mori projection operator method. The friction constant is thus shown to be renormalized by...

A new statistical-dynamical theory of nonlinear stochastic processes in nonequilibrium open systems is presented. It is shown by means of the time-convolutionless projector method that multiplicative type stochastic equations of motion for relevant variables Ai(t) can always be transformed...

A new method of finding nonlinear Langevin type equations of motion for relevant macrovariables and the corresponding master equation for systems far from thermal equilibrium is presented by generalizing the time-convolutionless formalism proposed previously for equilibrium hamiltoian systems by...

A direct and elementary derivation is presented for the kinetic equation of the single droplet distribution function and the variance equation that describe Ostwald ripening. The derivation is basically algebraical and the screening effects of diffusional interactions among droplets is taken...

The encounter effect on the dynamics of fluctuations in phase separations of off-critically quenched binary systems is studied by performing three-dimensional computer simulations of the droplet growth model proposed recently by the authors. The dynamical behavior of the scattering structure...