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A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains by Español, Malena; Golovaty, Dmitry; Wilber, J. Patrick is a scholarly article available to read on EtoBox.

What is A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains about?

In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains represent a cross-section of a three-dimensional system consisting of a graphene sheet suspended over a substrate. The continuum model recovers both qualitatively and quantitatively the behavior observed in the corresponding discrete model. The numerical solutions for both models demonstrate the presence of large commensurate regions separated by localized incommensurate domain walls.

Author

Español, Malena; Golovaty, Dmitry; Wilber, J. Patrick

Published

2017

Language

EN