Crystallization in carbon nanostructures
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Publication:2016042
DOI10.1007/s00220-014-1981-5zbMath1391.82058OpenAlexW2152468302MaRDI QIDQ2016042
Ulisse Stefanelli, Edoardo Mainini
Publication date: 18 June 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-014-1981-5
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Cites Work
- Face-centered cubic crystallization of atomistic configurations
- An atomistic-based finite deformation membrane for single layer crystalline films
- On the crystallization of 2D hexagonal lattices
- A proof of crystallization in two dimensions
- An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes
- Absence of crystalline ordering in two dimensions
- Singular perturbations as a selection criterion for periodic minimizing sequences
- Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
- Packing twelve spherical caps to maximize tangencies
- Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape
- Ground states of the 2D sticky disc model: fine properties and \(N^{3/4}\) law for the deviation from the asymptotic Wulff shape
- A derivation of linear elastic energies from pair-interaction atomistic systems
- Surface energies in a two-dimensional mass-spring model for crystals
- No crystallization to honeycomb or Kagomé in free space
- SURFACE ENERGIES IN NONCONVEX DISCRETE SYSTEMS
- From atoms to crystals: a mathematical journey
- Periodicity of the infinite-volume ground state of a one-dimensional quantum model
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