Micro-to-macro models on manifolds: Emergence of line singularities
Anno
2021
Proponente Annika Bach - Assegnista di ricerca
Struttura
Sottosettore ERC del proponente del progetto
PE1_8
Componenti gruppo di ricerca
| Componente | Categoria |
|---|---|
| Adriana Garroni | Aggiungi Tutor di riferimento (Professore o Ricercatore afferente allo stesso Dipartimento del Proponente) |
Abstract
This project addresses the asymptotic analysis via Gamma-convergence of specific energy-driven lattice systems on manifolds in which the energy concentrates on lower-dimensional sets. In particular, we are interested in Ising- and spin systems, where the concentration of energy on surface- and vortex scales leads (in dimension 2) to the emergence of line- and point singularities. In the current project we will focus on the first type of singularity. This will be a first step in the direction of treating discrete energies on manifolds which give rise to the emergence of both types of singularities simultanously.
ERC
PE1_8, PE1_20
Keywords:
CALCOLO DELLE VARIAZIONI, ANALISI GLOBALE E SU VARIETA¿, TRANSIZIONI DI FASE, PROCESSI ALL'INTERFACCIA