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 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...

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...

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 statistical-mechanical theory of slow dynamics near the glass transition in two kinds of glass-forming systems, (M) molecular systems and (S) suspensions of colloids, is presented from a unified point of view based on the Tokuyama–Mori projection operator method. The exact diffusion...