On the Stability of Objective Structures

• Main Author: Steinbach, Martin (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: Berlin Logos Verlag Berlin 2021
• Series: Augsburger Schriften zur Mathematik, Physik und Informatik 38
• Subjects: Mathematical modelling; Mathematical physics; Mathematical model; Elasticity theory; Stability theory; Objective structure; Discrete subgroup of the Euclidean group
• Online Access: 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...