Equivalence of certain convex and nonconvex models of spatially modulated structures

Kazuo Sasaki, Robert B. Griffiths

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1031-1040
ページ数10
ジャーナルJournal of Statistical Physics
53
5-6
DOI
出版ステータスPublished - 1988 12 1
外部発表はい

ASJC Scopus subject areas

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

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