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• W3195594512 abstract "In this thesis, the influence of composition changes on the glass transition behavior of binary liquids in two and three spatial dimensions (2D/3D) is studied in the framework of mode-coupling theory (MCT).The well-established MCT equations are generalized to isotropic and homogeneous multicomponent liquids in arbitrary spatial dimensions. Furthermore, a new method is introduced which allows a fast and precise determination of special properties of glass transition lines. The new equations are then applied to the following model systems: binary mixtures of hard disks/spheres in 2D/3D, binary mixtures of dipolar point particles in 2D, and binary mixtures of dipolar hard disks in 2D. Some general features of the glass transition lines are also discussed. The direct comparison of the binary hard disk/sphere models in 2D/3D shows similar qualitative behavior. Particularly, for binary mixtures of hard disks in 2D the same four so-called mixing effects are identified as have been found before by Gotze and Voigtmann for binary hard spheres in 3D [Phys. Rev. E 67, 021502 (2003)]. For instance, depending on the size disparity, adding a second component to a one-component liquid may lead to a stabilization of either the liquid or the glassy state. The MCT results for the 2D system are on a qualitative level in agreement with available computer simulation data. Furthermore, the glass transition diagram found for binary hard disks in 2D strongly resembles the corresponding random close packing diagram. Concerning dipolar systems, it is demonstrated that the experimental system of Konig et al. [Eur. Phys. J. E 18, 287 (2005)] is well described by binary point dipoles in 2D through a comparison between the experimental partial structure factors and those from computer simulations. For such mixtures of point particles it is demonstrated that MCT predicts always a plasticization effect, i.e. a stabilization of the liquid state due to mixing, in contrast to binary hard disks in 2D or binary hard spheres in 3D. It is demonstrated that the predicted plasticization effect is in qualitative agreement with experimental results. Finally, a glass transition diagram for binary mixtures of dipolar hard disks in 2D is calculated. These results demonstrate that at higher packing fractions there is a competition between the mixing effects occurring for binary hard disks in 2D and those for binary point dipoles in 2D.%%%%In der vorliegenden Dissertation werden im Rahmen der Modenkopplungstheorie (MCT) die Auswirkungen von Anderungen in der Zusammensetzung binarer Flussigkeiten in zwei und drei Raumdimensionen (2D/3D) auf deren Glasubergangsverhalten untersucht.Die wohlbekannten Modenkopplungsgleichungen werden fur die Beschreibung isotroper und homogener Mehrkomponentenflussigkeiten in beliebigen Raumdimensionen verallgemeinert. Auserdem wird eine neue Methode eingefuhrt, die eine schnelle und prazise Berechnung spezieller Eigenschaften so genannter Glasubergangslinien erlaubt. Die neuen Gleichungen werden auf verschiedene Modellsysteme…" @default.
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• W3195594512 date "2010-01-01" @default.
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• W3195594512 title "Effect of mixing, particle interaction, and spatial dimension on the glass transition" @default.
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