Crystallization for a Brenner-like potential

DOI10.1007/s00220-016-2732-6zbMath1381.74044arXiv1512.04489OpenAlexW3102434873MaRDI QIDQ512323

Selim Esedoḡlu, Brittan Farmer, Peter Smereka

Publication date: 24 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04489

Mathematics Subject Classification ID

Crystalline structure (74E15) Energy minimization in equilibrium problems in solid mechanics (74G65) Statistical mechanics of crystals (82D25) Crystals in solids (74N05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

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Cites Work

• On the crystallization of 2D hexagonal lattices
• A proof of crystallization in two dimensions
• The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials.
• Crystallization in carbon nanostructures
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity