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

Abstract

We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84, 050501(R) (2011)]. 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 often 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.

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• Tagged-particle motion in a dense confined liquid
• Static correlations functions and domain walls in glass-forming liquids: the case of a sandwich geometry
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Investigating amorphous order in stable glasses by random pinning
• Relation between heterogeneous frozen regions in supercooled liquids and non-Debye spectrum in the corresponding glasses
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• Nonergodicity parameters of confined hard-sphere glasses
• Glassy dynamics in confinement: Planar and bulk limit of the mode-coupling theory
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• Generalized Mode-Coupling Theory for Mixtures of Brownian Particles
• Simple physics of the partly pinned fluid systems
• The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
• High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas
• Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition
• Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters
• Comment on: "Static correlations functions and domain walls in glass-forming liquids: The case of a sandwich geometry" [J. Chem. Phys. 138, 12A509 (2013)]