Lattice ground states for embedded-atom models in 2D and 3D

Betermin L, Friedrich M, Stefanelli U (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Letters in Mathematical Physics Springer Verlag (Germany)

Book Volume: 111

Article Number: 107

Journal Issue: 4

DOI: 10.1007/s11005-021-01446-6

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.

Authors with CRIS profile

Manuel Friedrich

Involved external institutions

Universität Wien / University of Vienna AT Austria (AT) Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE)

How to cite

APA:

Betermin, L., Friedrich, M., & Stefanelli, U. (2021). Lattice ground states for embedded-atom models in 2D and 3D. Letters in Mathematical Physics, 111(4). https://doi.org/10.1007/s11005-021-01446-6

MLA:

Betermin, Laurent, Manuel Friedrich, and Ulisse Stefanelli. "Lattice ground states for embedded-atom models in 2D and 3D." Letters in Mathematical Physics 111.4 (2021).

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