Engineering of Advanced Materials (EAM), ein interdisziplinärer Forschungsverbund an der Friedrich- Alexander-Universität Erlangen-Nürnberg (FAU), der neuartige Hochleistungsmaterialien erforscht und entwickelt.

Mit Texten von Maria Anne Anders,
Victoria Bauer, Thora Engel, Tobias Falberg, Suzanne Fischer, Axel Görlach,
Birgit Honikel, Ricarda Howe, Mathias Jeschke, Philipp Kampa, Michael Kanofsky,
Christine Kappe, Michael Köhler, Kristiane Kondrat, Simone Kornappel, Petra Ina
Lang, Friederike Langer, Ute Paul, Andreas Peukert, Stephan Roiss, Wolfgang
Roth, Veronica Rummel-Damian, Tanja Rupel Tera, Franziska Ruprecht, Kirsten
Sanders, Barbara Schibli, Claus-Peter Schmidt, Rolf Schönlau, Anna Stern, Marlies
Strübbe-Tewes, Gerhard Stübner, Cornelia Travnicek, Dorothea Weinfurtner,
Bernhard Winter, Melanie Wolf und Franziska Wotzinge},
address = {Erlangen},
editor = {Heydenreich, Aura and Mecke, Klaus},
faupublication = {yes},
isbn = {978-3-946120-55-1},
peerreviewed = {automatic},
publisher = {homunculus verlag},
title = {{Science} meets {Fiction}. {Nano}-{Modellierungen}: {Poesie} und {Mikroskopie}},
year = {2018}
}
@article{faucris.122538284,
abstract = {Results. We have successfully applied our method to data of the H.E.S.S. experiment. The morphometric analysis presented here is dedicated to detecting faint extended sources.},
author = {Göring, Daniel and Klatt, Michael and Stegmann, C. and Mecke, Klaus},
doi = {10.1051/0004-6361/201321136},
faupublication = {yes},
journal = {Astronomy & Astrophysics},
keywords = {methods: data analysis;methods: statistical;techniques: image processing;gamma rays: diffuse background},
peerreviewed = {Yes},
title = {{Morphometric} analysis in gamma-ray astronomy using {Minkowski} functionals {Source} detection via structure quantification},
volume = {555},
year = {2013}
}
@article{faucris.110335764,
abstract = {Random unimodular lattice triangulations have been recently used as an embedded random graph model, which exhibit a crossover behavior between an ordered, large-world and a disordered, small-world behavior. Using the ergodic Pachner flips that transform such triangulations into another and an energy functional that corresponds to the degree distribution variance, Markov chain Monte Carlo simulations can be applied to study these graphs. Here, we consider the spectra of the adjacency and the Laplacian matrix as well as the algebraic connectivity and the spectral radius. Power law dependencies on the system size can clearly be identified and compared to analytical solutions for periodic ground states. For random triangulations we find a qualitative agreement of the spectral properties with well-known random graph models. In the microcanonical ensemble analytical approximations agree with numerical simulations. In the canonical ensemble a crossover behavior can be found for the algebraic connectivity and the spectral radius, thus combining large-world and small-world behavior in one model. The considered spectral properties can be applied to transport problems on triangulation graphs and the crossover behavior allows a tuning of important transport quantities.},
author = {Krüger, Benedikt and Schmidt, Ella and Mecke, Klaus},
doi = {10.1007/s10955-016-1493-0},
faupublication = {yes},
journal = {Journal of Statistical Physics},
keywords = {Triangulations;Random graphs;Networks;Spectral graph theory},
pages = {514-543},
peerreviewed = {Yes},
title = {{Spectral} {Properties} of {Unimodular} {Lattice} {Triangulations}},
volume = {163},
year = {2016}
}
@article{faucris.123203344,
abstract = {Theory predicts that dewetting of a homogeneous liquid film from a solid surface may proceed via unstable surface waves on the Liquid. This phenomenon, usually termed spinodal dewetting, has been sought after in many systems. Observations in liquid crystal and Liquid metal films showed that, as expected, the emerging structures were similar to those found for spinodal decomposition in mixtures. Certain differences, however, could be attributed to peculiarities of the wetting forces in these two dissimilar systems, thereby demonstrating the role of nonlinearities inherent in the wetting forces.},
author = {Mecke, Klaus and et al.},
author_hint = {Herminghaus S, Jacobs K, Mecke K, Bischof J, Fery A, Ibn-Elhaj M, Schlagowski S},
faupublication = {no},
journal = {Science},
pages = {916-919},
peerreviewed = {Yes},
support_note = {Author relations incomplete. You may find additional data in field 'author_hint'},
title = {{Spinodal} dewetting in liquid crystal and liquid metal films},
volume = {282},
year = {1998}
}
@article{faucris.110325424,
abstract = {Second-order characteristics are important in the description of various geometrical structures occurring in foams, porous media, complex fluids, and phase separation processes. The classical second order characteristics are pair correlation functions, which are well-known in the context of point fields and mass distributions. This paper studies systematically these and further characteristics from a unified standpoint, based on four so-called curvature measures, volume, surface area, integral of mean curvature and Euler characteristic. Their statistical estimation is straightforward only in the case of the volume measure, for which the pair correlation function is traditionally called the two-point correlation function. For the other three measures a statistical method is described which yields smoothed surrogates for pair correlation functions, namely variograms. Variograms lead to an enhanced understanding of the variability of the geometry of two-phase structures and can help in finding suitable models. The use of the statistical method is demonstrated for simulated samples related to Poisson-Voronoi tessellations, for experimental 3D images of Fontainebleau sandstone and for two samples of industrial foams.},
author = {Mecke, Klaus and et al.},
author_hint = {Arns CH, Mecke J, Mecke K, Stoyan D},
doi = {10.1140/epjb/e2005-00338-5},
faupublication = {no},
journal = {European Physical Journal B},
pages = {397-409},
peerreviewed = {Yes},
support_note = {Author relations incomplete. You may find additional data in field 'author_hint'},
title = {{Second}-order analysis by variograms for curvature measures of two-phase structures},
volume = {47},
year = {2005}
}
@article{faucris.122283304,
abstract = {In particulate systems with short-range interactions, such as granular matter or simple fluids, local structure determines the macroscopic physical properties. We analyse local structure metrics derived from the Voronoi diagram of oblate ellipsoids, for various aspect ratios and global packing fractions φ^{2,0}, points towards a difference between random packings of spheres and those of oblate ellipsoids. While the average cell shape β of all cells with a given value of is similar in dense and loose jammed sphere packings, the structure of dense and loose ellipsoid packings differs substantially such that this does not hold true.},
author = {Schröter, Matthias and Schaller, Fabian and Kapfer, Sebastian and Hilton, James E. and Cleary, Paul W. and Mecke, Klaus and de Michele, Christiano and Schilling, Tanja and Saadatfar, Mohammad and Delaney, Gary and Schröder-Turk, Gerd},
doi = {10.1209/0295-5075/111/24002},
faupublication = {yes},
journal = {EPL},
peerreviewed = {unknown},
title = {{Non}-universal {Voronoi} cell shapes in amorphous ellipsoid packs},
volume = {111},
year = {2015}
}
@article{faucris.107304604,
abstract = {Predicting physical properties of materials with spatially complex structures is one of the most challenging problems in material science. One key to a better understanding of such materials is the geometric characterization of their spatial structure. Minkowski tensors are tensorial shape indices that allow quantitative characterization of the anisotropy of complex materials and are particularly well suited for developing structure-property relationships for tensor-valued or orientation-dependent physical properties. They are fundamental shape indices, in some sense being the simplest generalization of the concepts of volume, surface and integral curvatures to tensor-valued quantities. Minkowski tensors are based on a solid mathematical foundation provided by integral and stochastic geometry, and are endowed with strong robustness and completeness theorems. The versatile definition of Minkowski tensors applies widely to different types of morphologies, including ordered and disordered structures. Fast linear-time algorithms are available for their computation. This article provides a practical overview of the different uses of Minkowski tensors to extract quantitative physically-relevant spatial structure information from experimental and simulated data, both in 2D and 3D. Applications are presented that quantify (a) alignment of co-polymer films by an electric field imaged by surface force microscopy; (b) local cell anisotropy of spherical bead pack models for granular matter and of closed-cell liquid foam models; (c) surface orientation in open-cell solid foams studied by X-ray tomography; and (d) defect densities and locations in molecular dynamics simulations of crystalline copper.},
author = {Peukert, Wolfgang and Schröder-Turk, Gerd and Mickel, Walter and Kapfer, Sebastian and Klatt, Michael and Schaller, Fabian and Hoffmann, Matthias and Kleppmann, Nicola and Armstrong, Patrick and Inayat, Alexandra and Hug, Daniel and Reichelsdorfer, Martin and Schwieger, Wilhelm and Mecke, Klaus},
doi = {10.1002/adma.201100562},
faupublication = {yes},
journal = {Advanced Materials},
keywords = {geometric; statistic; spatial; anisotropy; shape; morphology; crystal;},
pages = {2535--2553},
peerreviewed = {Yes},
title = {{Minkowski} {Tensor} {Shape} {Analysis} of {Cellular}, {Granular} and {Porous} {Structures}},
volume = {23},
year = {2011}
}
@article{faucris.121811624,
abstract = {We investigate the emergence of subdiffusive transport by obstruction in continuum models for molecular crowding. While the underlying percolation transition for the accessible space displays universal behavior, the dynamic properties depend in a subtle nonuniversal way on the transport through narrow channels. At the same time, the different universality classes are robust with respect to introducing correlations in the obstacle matrix as we demonstrate for quenched hard-sphere liquids as underlying structures. Our results confirm that the microscopic dynamics can dominate the relaxational behavior even at long times, in striking contrast to glassy dynamics.},
author = {Spanner, Markus and Hoefling, Felix and Kapfer, Sebastian and Mecke, Klaus and Schroeder-Turk, Gerd E. and Franosch, Thomas},
doi = {10.1103/PhysRevLett.116.060601},
faupublication = {yes},
journal = {Physical Review Letters},
peerreviewed = {Yes},
title = {{Splitting} of the {Universality} {Class} of {Anomalous} {Transport} in {Crowded} {Media}},
volume = {116},
year = {2016}
}
@incollection{faucris.213045914,
abstract = {Modern imaging techniques with nanometre resolution open up the possibility to study the relationship between physical properties and geometric features of spatially structured materials.},
address = {Oxford},
author = {Mecke, Klaus},
booktitle = {New Perspectives in Stochastic Geometry},
doi = {10.1093/acprof:oso/9780199232574.003.0015},
editor = {Wilfrid S. Kendall, Ilya Molchanov},
faupublication = {yes},
isbn = {9780199232574},
note = {EAM Import::2019-03-12},
pages = {466-508},
peerreviewed = {unknown},
publisher = {Oxford University Press},
title = {{Physics} of {Spatially} {Structured} {Materials}},
year = {2009}
}
@article{faucris.123204444,
abstract = {Experiments on dewetting thin polymer films confirm the theoretical prediction that thermal noise can strongly influence characteristic time scales of fluid flow and cause coarsening of typical length scales. Comparing the experiments with deterministic simulations, we show that the Navier-Stokes equation has to be extended by a conserved bulk noise term to accomplish the observed spectrum of capillary waves. Because of thermal fluctuations the spectrum changes from an exponential to a power law decay for large wave vectors. Also the time evolution of the typical wave vector of unstable perturbations exhibits noise-induced coarsening that is absent in deterministic hydrodynamic flow.},
author = {Mecke, Klaus and et al.},
author_hint = {Fetzer R, Rauscher M, Seemann R, Jacobs K, Mecke K},
doi = {10.1103/PhysRevLett.99.114503},
faupublication = {yes},
journal = {Physical Review Letters},
peerreviewed = {Yes},
support_note = {Author relations incomplete. You may find additional data in field 'author_hint'},
title = {{Thermal} noise influences fluid flow in thin films during spinodal dewetting},
volume = {99},
year = {2007}
}
@incollection{faucris.122965304,
address = {Berlin},
author = {Heydenreich, Aura and Mecke, Klaus},
booktitle = {Physik und Poetik. Produktionsästhetik und Werkgenese ; Autorinnen und Autoren im Dialog, Interviews mit: Thomas Lehr, Durs Grünbein, Raoul Schrott, Ulrike Draesner, Jens Harder, Ulrich Woelk, Juli Zeh, Michael Hampe},
editor = {Aura Heydenreich, Klaus Mecke},
faupublication = {yes},
isbn = {978-3-11-040651-1},
pages = {VII–XXVIII},
peerreviewed = {unknown},
publisher = {De Gruyter},
series = {Literatur- und Naturwissenschaften},
title = {{Dialogisches} {Denken}. {Ein} {Plädoyer} für die {Etablierung} einer {Kultur} des wechselseitigen {Austausches} von {Denk}-{Positionen} zwischen {Physikern}, {Dichtern} und {Literaturwissenschaftlern}. {Einleitung}},
volume = {1},
year = {2015}
}
@incollection{faucris.109939104,
address = {Berlin, New York},
author = {Heydenreich, Aura and Mecke, Klaus},
booktitle = {Physik und Poetik. Produktionsästhetik und Werkgenese. Gegenwartsautoren und Gegenwartsautorinnen im Dialog},
editor = {Aura Heydenreich, Klaus Mecke},
faupublication = {yes},
isbn = {978-3-11-044036-2},
pages = {228–261},
peerreviewed = {unknown},
publisher = {De Gruyter},
series = {Literatur- und Naturwissenschaften},
title = {{Sokratische} {Dialoge}. {Raoul} {Schrott} im {Dialog} zu «{Tropen}« und »{Gehirn} und {Gedicht}«},
volume = {1},
year = {2015}
}
@misc{faucris.122385164,
abstract = {(C) Morphological measures are a novel method for the description of complex spatial structures aiming for relevant order parameters and structure information complement to correlation functions. Typical applications address Turing patterns in chemical reaction diffusion systems, homogeneous phases evolving during spinodal decomposition, and the distribution of galaxies and clusters of galaxies in the Universe as a prominent example of a point process in nature.},
author = {Mecke, Klaus},
faupublication = {no},
peerreviewed = {Yes},
title = {{Integral} geometry in statistical physics},
year = {1998}
}
@article{faucris.123194764,
abstract = {Density functional theory (DFT) for hard bodies provides a theoretical description of the effect of particle shape on inhomogeneous fluids. We present improvements of the DFT framework fundamental measure theory (FMT) for hard bodies and validate these improvements for hard spherocylinders. To keep the paper self-contained, we first discuss the recent advances in FMT for hard bodies that lead to the introduction of fundamental mixed measure theory (FMMT) in our previous paper (2015 Europhys. Lett. 109 26003). Subsequently, we provide an efficient semi-empirical alternative to FMMT and show that the phase diagram for spherocylinders is described with similar accuracy in both versions of the theory. Finally, we present a semi-empirical modification of FMMT whose predictions for the phase diagram for spherocylinders are in excellent quantitative agreement with computer simulation results.},
author = {Wittmann, Rene and Marechal, Mattheus and Mecke, Klaus},
doi = {10.1088/0953-8984/28/24/244003},
faupublication = {yes},
journal = {Journal of Physics: Condensed Matter},
keywords = {non-spherical particles;colloids;liquid crystals;continuum theory},
peerreviewed = {Yes},
title = {{Fundamental} measure theory for non-spherical hard particles: predicting liquid crystal properties from the particle shape},
volume = {28},
year = {2016}
}