Localized defects in classical one-dimensional models

L.-H. Tang, R.B. Griffiths

Research output: Contribution to journalJournal articlepeer-review

15 Citations (Scopus)


Several aspects of localized defects in the Frenkel-Kontorova, classicalXY chain and analogous models with a finite range of interactions are discussed from a general point of view. Precise definitions are given for defect phase shifts (charges) and for creation, pinning, and interaction energies. Corresponding definitions are also provided for interfaces (localized regions separating two phases). For the nearest-neighbor Frenkel-Kontorova model, the various defect energies are related to areas enclosed by contours joining heteroclinic points of the area-preserving map generated by the conditions of mechanical equilibrium.
Original languageEnglish
Pages (from-to)853-892
Number of pages40
JournalJournal of Statistical Physics
Publication statusPublished - Nov 1988

User-Defined Keywords

  • Frenkel-Kontorova model
  • defects
  • nonlinear maps
  • defect interactions
  • devil's staircase


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