Dresden 2011 – scientific programme
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DF: Fachverband Dielektrische Festkörper
DF 15: Glasses and Glass Transition II (Joint Session of CPP, DY, DF)
DF 15.6: Talk
Thursday, March 17, 2011, 12:15–12:30, ZEU 114
Glass Transition in Confined Geometry — •Simon Lang1,2, Viatlie Botan1, Martin Oettel1, David Hajnal1, Thomas Franosch2, and Rolf Schilling1 — 1Johannes Gutenberg-Universität Mainz, Germany — 2Universität Erlangen/Nürnberg, Germany
Confinement of a simple liquid is accompanied by introducing a further length scale in addition to the average distance of the particles. The interplay between them strongly influences the glass transition according to numerous significant experiments and simulations.
To achieve a theoretical description, we extend the microscopic mode-coupling theory to a liquid confined between two parallel flat hard walls [1]. The theory contains the standard mode-coupling equations in bulk and in two dimensions as limiting cases and requires as input solely the equilibrium density profile and the static structure factors of the fluid in confinement. We evaluate the phase diagram for a hard-sphere liquid as a function of the distance of the plates and obtain an oscillatory behavior of the glass transition line as a result of the structural changes related to layering. We detect a facilitation of the glass transition at half-integer values of the distance with respect to the hard-sphere diameter. In contrast, at commensurate packing particles can more easily slide along the walls and therefore the liquid phase remains favored for higher packing fractions.
[1] S. Lang, V. Botan, M. Oettel, D. Hajnal, T. Franosch, and R. Schilling, Phys. Rev. Lett. 105 125701 (2010)