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Gerd E. Schröder-Turk
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My research focuses on geometric problems relevant to soft-matter physics. In particular, I have been working on the geometry of triply-periodic minimal surfaces; these are surfaces that partition space into two intertwined channel systems and that have vanishing mean curvature such as the Gyroid surface shown above. Interest in these surfaces is motivated by their appearance as the spatial structure of various soft-matter systems such as self-assembled mesophases in lipid/surfactant-water-oil mixtures and copolymers, or in biomineralised materials such sea urchin skeleti. My analysis has focussed on channel thickness variations in these labyrinths that are intimately related to free energies of the corresponding systems. For this analysis I have adopted the concept of a medial surface from discrete and computational geometry. More generally I am interested in spatial characterisation of complicated 3D morphologies, and am applying tools from integral and differential geometry, such as curvature distributions and integrated curvatures (Minkowski functionals). The aim of these studies is, of course, to find measures that simplify the description of physical processes that either take place inside a morphologically complicated container or that self-assemble to morphologically interesting spatial structures. I am also involved in the exciting Mango-software project that provides parallel code for the analysis of large micro-tomography datasets. |
Vorlesungen im Sommersemester 2009: Computerphysik I: Einführung in die Computerphysik und numerische Methoden Computerphysik II: Ausgewaehlte Themen der Computerphysik Programmierkurs fuer Anfaenger ohne Vorkenntnisse
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The contents of this homepage are my own responsibility, not those of the Friedrich-Alexander-Universität Erlangen-Nürnberg or any of its units. Conversely, information about me and my activities provided (or not provided) by the university or any of its units is not necessarily approved by me.