B11
Geometric rigidity in spin systems


The project B11 aims at developing a deeper understanding of typical low-energy states and to derive coarse-grained continuum theories of variational lattice spin theories. One of the main difficulties in this respect is the lack of understanding of elementary low-energy singularities such as vortices or line defects in spin systems. Our goal is to address these issues for simple but relevant lattice models. For that, we will combine methods from different areas: direct methods in the calculus of variations, abstract methods of Gamma-convergence and scaling laws analysis via domain branching constructions.

Publications+

Papers
  • Janusz Ginster and Barbara Zwicknagl.
    Energy Scaling Laws for Microstructures: From Helimagnets to Martensites.
    cvgmt preprint, April 2023.
  • Janusz Ginster and Barbara Zwicknagl.
    Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism.
    Journal of Nonlinear Science, December 2022.
    doi:10.1007/s00332-022-09847-0.
  • Sergio Conti, Johannes Diermeier, Melanie Koser, and Barbara Zwicknagl.
    Asymptotic Self-Similarity of Minimizers and Local Bounds in a Model of Shape-Memory Alloys.
    Journal of Elasticity, December 2021.
    doi:10.1007/s10659-021-09862-4.

Team+

Prof. Dr. Marco Cicalese   +

Projects: B11
University: TU München, Department of Mathematics, 03.08.038
Address: Boltzmannstraße 3, 85748 Garching, GERMANY
Tel: +49 89 28917913
E-Mail: cicalese[at]ma.tum.de
Website: https://www-m7.ma.tum.de/bin/view/Analysis/MarcoCicalese


Prof. Dr. Barbara Zwicknagl   +

Projects: B11
University: HU Berlin, Department of Mathematics, 2.113
Address: Rudower Chaussee 25, 12489 Berlin, GERMANY
Tel: +49 30 209345338
Fax: +49 30 20931842
E-Mail: barbara.zwicknagl[at]math.hu-berlin.de
Website: https://www.mathematik.hu-berlin.de/de/forschung/forschungsgebiete/angewandte-analysis/b-zwicknagl


Dr. Janusz Ginster   +

Projects: B11
University: HU Berlin, Institut für Mathematik, Room 2.106
Address: Rudower Chaussee 25, 12489 Berlin, GERMANY
Tel: +49 30 209345342
E-Mail: janusz.ginster[at]math.hu-berlin.de
Website: https://www.mathematik.hu-berlin.de/en/people/mem-vz/1692507


Tim Heilmann   +

Projects: B11
University: TU München
E-Mail: heilmant[at]ma.tum.de


Melanie Koser   +

Projects: B11
University: HU Berlin, Institut für Mathematik
E-Mail: kosermel[at]math.hu-berlin.de


Dr. Andrea Kubin   +

Projects: B11
University: TU München
E-Mail: kub[at]ma.tum.de