Schröder-Turk, Gerd - Murdoch University - School of Engineering and Information Technology

研究领域

I refer to my research area as ‘materials geometry’, that is, the combination of geometry and the science of biological or synthetic materials. Much of my research is focused on systems where a complex spatial structure determines their physical or biological properties. In such systems, the route to understanding physics or function is often via modern geometry, including hyperbolic and stochastic geometry. Formation of complex structure in biology and chemistry: Self-assembly of network phases in copolymeric or lipid systems Butterfly nanostructures and their biological formation mechanisms Formation of gyroid phases and other bicontinuous structures Pattern formation of spatio-temporal chaos in Turing reaction-diffusion systems Applications of complex structures for advanced materials Triply-periodic surfaces as microstructure designs for bone scaffolds Gyroid-related geometries as nano-engineered photonic materials Geometries for nano-fabrication and 3D printing Characterisation and 3D imaging of complex material morphologies Minkowski tensors and integral geometry of amorphous materials Medial axes and pore size measures for biopolymer networks Quantitative morphology of disordered porous, granular & cellular materials Local shape and anisotropy measures for granular materials Bond-orientational order metrics and Minkowski tensors Geometric concepts and algorithmic solutions Triply-periodic minimal surfaces and constant mean curvature surfaces Tricontinuous and poly-continuous geometries Simulation approaches for complex bandstructures and evanescent modes Group theoretic approaches for optics and mechanics of microstructured materials Statistical physics and materials properties Phase transitions of granular materials and random close packing Auxetic material microstructures: group theory, fabrication and geometry Emergence of structural chirality in chitin nanostructured materials Non-universal behaviour of percolation on four-valent networks Anomalous diffusion in critical pore spaces

近期论文

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Spanner, M., Höfling, F., Kapfer, S., Mecke, K., Schroeder-Turk, G., Franosch, T., (2016), Splitting of the universality class of anomalous transport in crowded media (PLS UPLOAD PUBLISHED JOURNAL ARTICLE), Physical Review Letters, 116, 6, pages 060601 -. Turella, F., Cumming, B., Schroeder-Turk, G., Gu, M., (2015), Observation of optical activity in dielectric biomimetic 8-srs networks, Optics Letters, 40, 20, pages 4795 - 4798. Scholz, C., Schroeder-Turk, G., Mecke, K., (2015), Pattern-fluid interpretation of chemical turbulence (IN PRESS), Physical review E Statistical, nonlinear, and soft matter physics, 91, 4, pages 042907-1 - 042907-6. Schaller, F., Kapfer, S., Hilton, J., Cleary, P., Mecke, K., De Michele, C., Schilling, T., Saadatfar, M., Schroter, M., Delaney, G., Schroeder-Turk, G., (2015), Non-universal Voronoi cell shapes in amorphous ellipsoid packs, Europhysics Letters: a letters journal exploring the frontiers of physics, 111, 24002, pages 1 - 11. Schaller, F., Neudecker, M., Saadatfar, M., Delaney, G., Schroeder-Turk, G., Schröter, M., (2015), Local Origin of Global Contact Numbers in Frictional Ellipsoid Packings, Physical Review Letters, 114, 15, pages 1 - 5. Winter, B., Butz, B., Dieker, C., Schroeder-Turk, G., Mecke, K., Spiecker, E., (2015), Coexistence of both gyroid chiralities in individualbutterfly wing scales of Callophrys rubi, National Academy of Sciences. Proceedings, 112, 42, pages 12911 - 12916. Scholz, C., Wirner, F., Klatt, M., Hirneise, D., Schroeder-Turk, G., Bechinger, C., Mecke, K., (2015), Direct Relations between Morphology and Transport in Boolean Models, Physical review E Statistical, nonlinear, and soft matter physics, 92, 4, pages 043023 -. Nachtrab, S., Hoffmann, M., Kapfer, S., Schroeder-Turk, G., Mecke, K., (2015), Beyond the percolation universality class: the vertex split model for tetravalent lattices, New Journal of Physics, 17, , pages -. N. Topic , F.M. Schaller , G.E. Schröder-Turk and T. Pöschel, “Microscopic structure of mono-disperse granular heaps and sediments of particles on inclined surfaces”, Softmatter DOI: 10.1039/C5SM03114A (2016) M. Spanner, F. Höfling, S.C. Kapfer, K. Mecke, G.E. Schröder-Turk, and T. Franosch, “Splitting of the universality class of anomalous transport in crowded media”, accepted for publication in Physical Review Letters, arXiv version (2016) G.E. Schröder-Turk, “The Hard Core of Soft Matter: Kugelsysteme in der weichen Materie“, Mitteilungen der Deutschen Mathematiker Vereinigung (MDMV), vol 23, issue 4, pages 208-217, (2015) (not peer-reviewed) C. Scholz, F. Wirner, M. Klatt, D. Hirneise, G.E. Schröder-Turk, K. Mecke, C. Bechinger, “Direct Relations between Morphology and Transport in Boolean Models”, Physical Review E, accepted (2015) B. Winter, B. Butz, C. Dieker, G.E. Schröder-Turk, K. Mecke, E. Spieker, “Coexistence of both gyroid chiralities in individual butterfly wing scales of Callophrys rubi“, Proceedings of the National Academy of Sciences, published online (2015) F. Turella, B. Cumming, G.E. Schröder-Turk, M. Gu, “Observation of optical activity in dielectric biomimetic 8-srs networks”, Optics Letters, to be published (2015) M.E. Evans & G.E. Schröder-Turk, “In a material world: hyperbolic geometry in biological materials”, Asia Pacific Mathematics Newsletter, Issue 2, September 2015 (popular science, not referreed, pdf) F.M. Schaller, S.C. Kapfer, J.E. Hilton, P. Cleary, K. Mecke, C. de Michele, T. Schilling, M. Saadatfar, M. Schröter, G.W. Delaney, G.E. Schröder-Turk, “Non-universal Voronoi cell shapes in amorphous ellipsoid packings“, EPL (Europhysics Letters) 111, 24002 (2015) F.M. Schaller, M. Neudecker, M. Saadatfar, G.W. Delaney, G.E. Schröder-Turk, and M. Schröter, “Local Origin of Global Contact Numbers in Frictional Ellipsoid Packings“, Phys. Rev. Lett. 114, 158001 (featured on PRL cover) S. Nachtrab, M.J.F. Hoffmann, S.C. Kapfer, G.E Schröder-Turk and Klaus Mecke, “Beyond the percolation universality class: the vertex split model for tetravalent lattices“, New J. Phys. 17, 043061 (2015) [pdf] C. Scholz, G.E. Schröder-Turk, and K. Mecke, “Pattern-fluid interpretation of chemical turbulence“, Phys. Rev. E 91, 042907 (2015) M. Saba and G.E. Schröder-Turk, “Block modes and evanescent modes of photonic crystals: weak form solutions based on accurate interface triangulation”, Crystals 5(1), 14-44 (2015)