Carbon-nanotube geometries: analytical and numerical results

DOI10.3934/dcdss.2017008zbMath1362.82059OpenAlexW2566179112MaRDI QIDQ501561

Paolo Piovano, Hideki Murakawa, Ulisse Stefanelli, Edoardo Mainini

Publication date: 9 January 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2017008

zbMATH Keywords

stabilitycarbon nanotubesCauchy-Born rulenew geometrical modelTersoff energyvariational perspective

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (7)

Stable carbon configurations ⋮ Carbon-Nanotube Geometries as Optimal Configurations ⋮ Ripples in graphene: a variational approach ⋮ Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule ⋮ Graphene ground states ⋮ The Geometry of $C_{60}$: A Rigorous Approach via Molecular Mechanics ⋮ Wulff shape emergence in graphene

Cites Work

• On the crystallization of 2D hexagonal lattices
• Crystallization in carbon nanostructures
• Objective structures

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