Dr. Leonard Kreutz
Donnerstag, 13. Dezember 2018
Raum 2004 (L1)
über das Thema:
|In this talk we will present some crystallization results of ionic dimers. In partic- ular we consider nite discrete systems consisting of two dierent atomic types and investigate ground-state congurations for congurational energies featuring two- body short-ranged particle interactions. The atomic potentials favor some reference distance between dierent atomic types and include repulsive terms for atoms of the same type, which are typical assumptions in models for ionic dimers. Our goal is to show a two-dimensional crystallization result. More precisely, we give conditions in order to prove that energy minimizers are connected subsets of the hexagonal lattice where the two atomic types are alternately arranged in the crystal lattice. We also provide explicit formulas for the ground-state energy. Finally, we charac- terize the net charge, that means, the dierence of the number of the two atomic types. Analyzing the deviation of congurations from the hexagonal Wul shape, we prove that for ground states consisting of n particles the net charge is at most of order O(n 1/4) where the scaling is sharp.|
|Hierzu ergeht herzliche Einladung.|
|Prof. Dr. Bernd Schmidt|
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).