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DY: Fachverband Dynamik und Statistische Physik
DY 11: Glasses II (with CPP, talks by DY)
DY 11.7: Talk
Tuesday, March 27, 2012, 11:30–11:45, MA 004
Glass form factors in confined geometry — •Simon Lang1, Vitalie Botan2, Martin Oettel2, Rolf Schilling2, and Thomas Franosch1 — 1Friedrich-Alexander Universität, Erlangen, Germany — 2Johannes Gutenberg-Universität, Mainz, Germany
Supercooled liquids embedded in complex geometries exhibit an intriguing interplay between particle interaction and incommensurability effects. Recently, the mode-coupling theory (MCT) of the glass transition was elaborated for a symmetric hard-wall confinement, where the glass-transition line reveals a striking re-entry phenomenon by varying the wall-to-wall separation [1]. A subtle point of the mathematical structure of these MCT equations is the emergence of two relaxation channels, which arise from a splitting of the current into a parallel and perpendicular direction with respect to the walls. Here, we present the glass form factors evaluated at the critical point for several distances. These arrested parts of the intermediate scattering function yield information about the structural arrangement of the particles in the confined glass state. We show, that the structure changes drastically upon varying the wall separation and the hallmarks of the phase diagram for confined liquids are reflected in the glass form factor. We demonstrate that the MCT equations for the glass form factor in confinement can be solved by a convergent iteration. From a generalized covariance property, the maximum principle for the glass form factors holds also for the MCT for confined liquids.
[1] S. Lang, V. Boţan, M. Oettel, D. Hajnal, T. Franosch, and R. Schilling, Phys. Rev. Lett.105 125701 (2010).