Glassy dynamics of partially pinned fluids: An alternative mode-coupling approach

We propose a simple mode-coupling theory for glassy dynamics of partially pinned fluids. Our approach is different from the mode-coupling theory developed by Krakoviack (Phys. Rev. Lett., 94 (2005) 065703; Phys. Rev. E, 84 (2011) 050501(R)). In contrast to Krakoviack's theory, our approach predicts a random pinning glass transition scenario that is qualitatively the same as the scenario obtained using a mean-field analysis of the spherical p-spin model and a mean-field version of the random first-order transition theory. We use our approach to calculate quantities which are considered to be indicators of growing dynamic correlations and static point-to-set correlations. We find that the so-called static overlap is dominated by the simple, low pinning fraction contribution. Thus, at least for randomly pinned fluid systems, only a careful quantitative analysis of simulation results can reveal genuine, many-body point-to-set correlations. Copyright (C) EPLA, 2013