Equivalence of certain convex and nonconvex models of spatially modulated structures

Kazuo Sasaki; Robert B. Griffiths

doi:10.1007/BF01023855

Equivalence of certain convex and nonconvex models of spatially modulated structures

Kazuo Sasaki, Robert B. Griffiths

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1031-1040
Number of pages	10
Journal	Journal of Statistical Physics
Volume	53
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01023855
Publication status	Published - 1988 Dec 1
Externally published	Yes

Keywords

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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10.1007/BF01023855

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AU - Griffiths, Robert B.

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AB - 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.

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KW - commensurate-incommensurate

KW - convex interactions

KW - ground states

KW - nonconvex interactions

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ER -

Equivalence of certain convex and nonconvex models of spatially modulated structures

Abstract

Keywords

ASJC Scopus subject areas

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