Workshop 2025: Discrete-to-continuum variational analysis for Ising and Spin models

Session Information

Location: Lecture room Schay
Day: Thursday, 15 May
Time: 09:30 - 10:00
Chairperson: Roger Moser

Presentation Details

Presentation Type: Oral presentation
Title: Discrete-to-continuum variational analysis for Ising and Spin models
Abstract: This talk is meant as an introductory talk to discrete-to-continuum variational analysis. Here the general objective is to characterise the macroscopic behaviour of energy-driven atomistic systems while keeping the scale-dependent relevant microscopic information. This is done via Gamma-convergence, which allows to coarse-grain discrete functionals to their continuum counterparts as the discretisation parameter vanishes. In this talk we will focus on some models with a particularly rich energy landscape, namely Ising and spin models such as the classical XY-model. In the first part I will give a short introduction to the topic and review some of the classical results in this context. In the second part I will present some recent results obtained in collaboration with Marco Cicalese, Leonard Kreutz, and Gianluca Orlando on the antiferromagnetic XY-model on
the triangular lattice.

Presenter

Dr Annika Bach
Eindhoven University of Technology | Netherlands

Authors

1. Bach, Annika | Eindhoven University of Technology
2. Cicalese, Marco | Technical University of Munich
3. Kreutz, Leonard | Technical University of Munich
4. Orlando, Gianluca | Politecnico di Bari