Resonance and non-recurrent rotationally ordered configuration in Frenkel-Kontorova models
Institute of Physics, Academia Sinica, Taipei, Taiwan 115, ROC
2 National Center for Theoretical Sciences, PO Box 2-131, Hsinchu, Taiwan 300, ROC
Corresponding author: a email@example.com
Published online: 15 August 1999
We demonstrate, with a class of exactly solvable Frenkel-Kontorova models, the emergence of the non-recurrent rotationally ordered configurations whenever certain resonance conditions are satisfied among the openings in the hull function in both the commensurate and the incommensurate cases. If one insists on depicting them with hull functions, suitably defined extended numbers must be employed. The defect-mediated transition in the incommensurate case is also discussed.
PACS: 64.70.Rh – Commensurate-incommensurate transition / 05.45-a – Nonlinear dynamics and nonlinear dynamical systems / 61.44.Fw – Incommensurate crystals
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999