Mode-coupling theory predictions for the dynamical transitions of the partly pinned fluid systems

TL;DR

This paper applies mode-coupling theory to partly pinned fluid systems, revealing similar dynamical phase diagrams to quenched-annealed systems and highlighting differences in diffusion-localization behavior at high densities.

Contribution

It demonstrates the predictive power of mode-coupling theory for fluid-matrix systems and compares its predictions with other theories, confirming PP systems as valuable models for glass transition studies.

Findings

Similar dynamical phase diagrams to QA systems

Re-entry phenomenon at high matrix densities

Contrasts with random first-order transition theory predictions

Abstract

The predictions of the mode-coupling theory (MCT) for the dynamical arrest scenarios in a partly pinned (PP) fluid system are reported. The corresponding dynamical phase diagram is found to be very similar to that of a related quenched-annealed (QA) system. The only significant qualitative difference lies in the shape of the diffusion-localization lines at high matrix densities, with a re-entry phenomenon for the PP system but not for the QA model, in full agreement with recent computer simulation results. This finding clearly lends support to the predictive power of the MCT for fluid-matrix systems. Finally, the predictions of the MCT are shown to be in stark contrast with those of the random first-order transition theory. The PP systems are thus confirmed as very promising models for tests of theories of the glass transition.