Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Mesoscale and Nanoscale Physics
2019-09-27 v1 Mathematical Physics
math.MP
Abstract
Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive potentials. The identification of local energy minimizers yields a variational description for the stability of rolled-up hexagonal-lattice structures. Optimality of periodic configurations is preserved under moderate tension, hence justifying the elastic behavior of carbon nanotubes in the axial traction regime.
Keywords
Cite
@article{arxiv.1909.12023,
title = {Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review},
author = {Manuel Friedrich and Edoardo Mainini and Paolo Piovano},
journal= {arXiv preprint arXiv:1909.12023},
year = {2019}
}