TopMath Alumni Speakers Series with Prof. Kreutz
The talk will take place on Thursday June 27nd 2019 at 6 PM at TUM, Departments of Mathematics and Informatics, Hörsaal 3. Anyone interested is welcome to attend.
As part of the TopMath Alumni Speakers Series, TopMath regularly invites graduates of its program to share their experiences with students and doctoral candidates. They present their current projects in research or industry, speak about their career path and are then available for an informal exchange.
For the second Alumnus Talk of the year 2019, Prof. Leonard Kreutz could be won. Leonard Kreutz, 8th TopMath year, is a post-doctoral candidate at the Institute for Computational and Applied Mathematics at WWU Münster in the group Calculus of Variations. In the current summer semester 2019, he is temporarely professor in the group Mathematical Modelling (M6) at TUM.
Prof. Leonard Kreutz (Münster/Munich): Crystallization Results for Ionic Compounds
It is a fundamental problem in statistical and solid mechanics to derive material properties from atomistic interaction models.
The approach of molecular mechanics consists in modelling the potential energy surface for a particular arrangement of atoms using potential functions that are derived using classical physics. In the limit of zero temperature and long time, observed con gurations are expected to correspond to minimizers of the interaction energy. The challenge of proving rigorously that energy minimizers exhibit crystalline structure and arrange in a periodic lattice is referred to as the crystallization problem.
Despite of its paramount theoretical and applicative relevance, rigorous results on crystallization are scarce and even under simpli ed assumptions the problem presents many diffculties.
In this talk Leonard Kreutz presents some of the results regarding the crystallization of monomers - particle systems consisting of one single atomic type - and dimers - particle systems consisting of two different atomic types. He investigates how the inter-atomic-potentials affect the microscopic and macroscopic geometry of the crystal. Furthermore, he shows how the net charge of the ionic dimer, i.e. the difference of two atomic types, affects the global geometry of the ground states.