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Nonergodicity parameters of confined hard-sphere glasses

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Abstract

Within a recently developed mode-coupling theory for fluids confined to a slit we elaborate numerical results for the long-time limits of suitably generalized intermediate scattering functions. The theory requires as input the density profile perpendicular to the plates, which we obtain from density functional theory within the fundamental-measure framework, as well as symmetry-adapted static structure factors, which can be calculated relying on the inhomogeneous Percus–Yevick closure. Our calculations for the nonergodicity parameters for both the collective as well as for the self motion are in qualitative agreement with our extensive event-driven molecular dynamics simulations for the intermediate scattering functions for slightly polydisperse hard-sphere systems at high packing fraction. We show that the variation of the nonergodicity parameters as a function of the wavenumber correlates with the in-plane static structure factors, while subtle effects become apparent in the structure factors and relaxation times of higher mode indices. A criterion to predict the multiple reentrant from the variation of the in-plane static structure is presented.

Graphical abstract: Nonergodicity parameters of confined hard-sphere glasses

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Publication details

The article was received on 05 May 2017, accepted on 03 Aug 2017 and first published on 10 Aug 2017


Article type: Paper
DOI: 10.1039/C7SM00905D
Citation: Soft Matter, 2017, Advance Article
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    Nonergodicity parameters of confined hard-sphere glasses

    S. Mandal, S. Lang, V. Boţan and T. Franosch, Soft Matter, 2017, Advance Article , DOI: 10.1039/C7SM00905D

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