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On the Stability of Objective Structures

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...

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Bibliographic Details
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
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