Published Paper

Inserted: 7 jun 2017
Last Updated: 19 jul 2018

Journal: Arch. Ration. Mech. Anal.
Year: 2018
Doi: 10.1007/s00205-018-1284-7

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, we prove the existence of periodic local minimizers, which indeed validates the so-called Cauchy–Born rule in this setting.

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