Titel
Lattice ground states for embedded-atom models in 2D and 3D
Autor*in
Manuel Friedrich
Applied Mathematics, University of Münster
Abstract
The Embedded-Atom Model (EAM) provides a phenomenological description of atomic arrangements in metallic systems. It consists of a configurational energy depending on atomic positions and featuring the interplay of two-body atomic interactions and nonlocal effects due to the corresponding electronic clouds. The purpose of this paper is to mathematically investigate the minimization of the EAM energy among lattices in two and three dimensions. We present a suite of analytical and numerical results under different reference choices for the underlying interaction potentials. In particular, Gaussian, inverse-power, and Lennard-Jones-type interactions are addressed.
Stichwort
Embedded-atom modelLattice energy minimizationEpstein zeta function
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1561696
Erschienen in
Titel
Letters in Mathematical Physics
Band
111
Ausgabe
4
ISSN
0377-9017
Erscheinungsdatum
2021
Verlag
Springer Science and Business Media LLC
Projektnummer
FR 4083/3-1/I 4354 – Austrian Science Fund (FWF)
Projektnummer
F 65 – Austrian Science Fund (FWF)
Projektnummer
P 32788 – Austrian Science Fund (FWF)
Erscheinungsdatum
2021
Zugänglichkeit
Rechteangabe
© The Author(s) 2021

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