On the Stability of Objective Structures

• Autor principal: Steinbach, Martin (auth)
• Formato: Electrónico Capítulo de libro
• Lenguaje: inglés
• Publicado: Berlin Logos Verlag Berlin 2021
• Colección: Augsburger Schriften zur Mathematik, Physik und Informatik 38
• Materias: Mathematical modelling; Mathematical physics; Mathematical model; Elasticity theory; Stability theory; Objective structure; Discrete subgroup of the Euclidean group
• Acceso en línea: DOAB: download the publication; DOAB: description of the publication

The main focus of this thesis is the discussion of stability of an objective (atomic) structure consisting of single atoms which interact via a potential. We define atomistic stability using a second derivative test. More precisely, atomistic stability is equivalent to a vanishing first derivative o...