Ripples in graphene: a variational approach

DOI10.1007/s00220-020-03869-zzbMath1451.82062arXiv1802.05053OpenAlexW3092010791MaRDI QIDQ2206014

Ulisse Stefanelli, Manuel Friedrich

Publication date: 21 October 2020

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

Full work available at URL: https://arxiv.org/abs/1802.05053

zbMATH Keywords

graphenerippling formation

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Molecular physics (81V55) The dynamics of infinite particle systems (70F45) Traveling wave solutions (35C07) Statistical mechanics of nanostructures and nanoparticles (82D80) Pattern formations in context of PDEs (35B36)

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Cites Work

• Carbon-nanotube geometries: analytical and numerical results
• Crystallization for a Brenner-like potential
• Graphene ground states
• On the crystallization of 2D hexagonal lattices
• Stable carbon configurations
• Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule
• Crystallization in carbon nanostructures
• The Geometry of $C_{60}$: A Rigorous Approach via Molecular Mechanics
• Wulff shape emergence in graphene
• Carbon-Nanotube Geometries as Optimal Configurations
• Chain-like ground states in three dimensions

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