Discrete-to-continuum modeling of weakly interacting incommensurate chains

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

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Article number033003
JournalPhysical Review E
Issue number3
StatePublished - Sep 7 2017
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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