Equivalence of certain convex and nonconvex models of spatially modulated structures

Kazuo Sasaki, Robert B. Griffiths

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


The ground states of a certain class of one-dimensional models with a nonconvex interatomic interaction which exhibit spatially modulated structures are proved to be equivalent to those of the Frenkel-Kontorova-type models with a convex interatomic interaction. One of the nonconvex models numerically studied by Marchand et al. belongs to this class, and it turns out to be equivalent to the exactly solvable model with a complete devil's staircase studied by Aubry.

Original languageEnglish
Pages (from-to)1031-1040
Number of pages10
JournalJournal of Statistical Physics
Issue number5-6
Publication statusPublished - 1988 Dec 1
Externally publishedYes


  • Frenkel-Kontorova models
  • commensurate-incommensurate
  • convex interactions
  • ground states
  • nonconvex interactions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics


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