Calculus of Variations and Geometric Measure Theory
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M. Friedrich - E. Mainini - P. Piovano - U. Stefanelli

Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule

created by mainini on 07 Jun 2017

[BibTeX]

Submitted Paper

Inserted: 7 jun 2017
Last Updated: 7 jun 2017

Year: 2017

ArXiv: 1706.01494 PDF

Abstract:

Carbon nanotubes are modeled as point configurations and investigated by minimizing configurational energies including two- and three-body interactions. Optimal configurations are identified with local minima and their fine geometry is fully characterized in terms of lower-dimensional problems. Under moderate tension, such local minimizers are proved to be periodic, which indeed validates the so-called Cauchy-Born rule in this setting.

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