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 generalization of the Zubarev nonequilibrium statistical operator (NSO) method for the case of Renyi statistics is proposed when the relevant statistical operator (or distribution function) is obtained based on the maximum entropy principle for the Renyi entropy. The nonequilibrium...

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...