Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations

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) 157–166]. Disagreement between the solutions and the simulation results for the mean-square displacements is found around the so-called β stage near the glass transition. Its physical reason is discussed from a statistical-mechanical point of view.