Crystalline and Isoperimetric Square Configurations

Edoardo Mainini, Paolo Piovano, Ulisse Stefanelli

Veröffentlichungen: Beitrag in FachzeitschriftMeeting Abstract/Conference PaperPeer Reviewed


We present crystallization results for planar atomic interactions governed by two- and three-body terms with the resulting periodicity being that of the square lattice. The emergence of a (square) Wulff shape for ground states is established by showing the optimality of ground-state configurations in terms of a discrete isoperimetric inequality. Furthermore, an $n^{3/4}$ law for the deviation from the asymptotic Wulff shape is established with an explicit constant for the leading term.
Seiten (von - bis)1045
FachzeitschriftProceedings in Applied Mathematics and Mechanics
PublikationsstatusVeröffentlicht - 2014

ÖFOS 2012

  • 101002 Analysis
  • 101028 Mathematische Modellierung


Untersuchen Sie die Forschungsthemen von „Crystalline and Isoperimetric Square Configurations“. Zusammen bilden sie einen einzigartigen Fingerprint.