Glass transition and dynamic scaling in soft repulsive particles: a mode-coupling theory study

We combine the hypernetted chain approximation with the mode-coupling theory to analyze structure and dynamics of dense systems consisting of soft repulsive particles (harmonic spheres). We investigate the phase diagram for a broad range of temperatures and volume fractions. We find that in the vicinity of the T=0 mode-coupling transition for hard spheres, the dynamics obey a power-law form of dynamic scaling. We find that the critical MCT exponent describing the divergence of the relaxation time at the mode-coupling transition decreases with increasing volume fraction.