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

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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References in corpus (2)

• Crystallization for a Brenner-like potential
• An analysis of crystal cleavage in the passage from atomistic models to continuum theory

Cited by in corpus (2)

• Graphene ground states
• Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review