[PDE&A] Annika Bach: Discrete-to-continuum variational analysis for Ising and Spin models

02 mei 2024 16:00 t/m 17:00 - Locatie: Snijderszaal (LB 01.010 EEMCS) | Zet in mijn agenda

This seminar is thought 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 Γ-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.