Dynamic transition in a binary liquid and its dependence on the mass-ratio: results from a self consistent mode coupling model

Abstract

We use the self-consistent mode coupling model for binary mixtures to investigate the influence of the mass-ratio (m 2/m 1) of constituent particles, where subscripts 1 and 2, respectively, denote the smaller and bigger size particles, on the dynamic transition. For the higher values of the ratio, m 2/m 1≥ 2, we find that there is no significant change in the transition point. This is in qualitative agreement with the simulation studies on the binary mixtures. However, for the case of bigger particle mass, m 2, being much smaller than that of the smaller particle mass, m 1, a significant change in the transition point is observed. The dependence of the non-ergodicity parameters on the mass-ratio is also predicted for different wave numbers. We also estimate the range in the vicinity of the dynamic transition point where the square root cusp behavior of the non-ergodicity parameter (NEP) dominates.