Transport properties of glass-formers near glass transition reflect the varying degrees of the sensitivity of the solid-like dynamics and structures with respect to temperature, depending on their fragility. Notably, however, most glasses resume Arrehenius transport behavior upon onset of...

In this work we introduce time correlation functions between inherent structures (IS) of a supercooled liquid. We show that these functions are useful to relate the slowing down of the dynamics to the structure of the energy landscape near the glass transition temperature. They show a short-time...

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...

The Tokuyama–Mori type projection-operator method is employed to study the dynamics of nonlinear density fluctuations near the glass transition. A linear non-Markov time-convolutionless equation for the scattering function Fα(q,t) is first derived from the Newton equation with the memory...

We study the significant entropy changes in supercooling and glass transition by developing a two (H and L) state cluster model, where the H-state represents the clusters with the coordination number z being larger than the reference size zR and the L-state those with zzR, respectively. We...

The numerical solutions of the mode-coupling equations for the Lennard-Jones binary colloids are investigated by extensive Brownian-dynamics simulations from a unified point of view based on the mean-field theory proposed recently by one of the present authors [M. Tokuyama, Physica A 378 (2007)...

Two types of projection-operator methods, Mori type and Tokuyama–Mori type, are tested for studying the slow dynamics of a single particle in complex systems near the glass transition. From a unified point of view based on the mean-field theory recently proposed by the present author, the...

A statistical-mechanical theory of self-diffusion in glass-forming liquids is presented. A non-Markov linear Langevin equation is derived from a Newton equation by employing the Tokuyama–Mori projection operator method. The memory function is explicitly written in terms of the force-force...

We treat liquid-to-glass transition as a sequence of self-similar “smeared” ideal transitions emerging at characteristic temperatures T0,Tg and Tc. The characteristic temperatures (Vogel–Fulcher T0, calorimetric Tg and crossover Tc temperatures) are discussed through the...

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...