Resonance and non-recurrent rotationally ordered configuration in Frenkel-Kontorova models |
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| Authors: | S-C Lee W-J Tzeng |
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| Institution: | (1) Institute of Physics, Academia Sinica, Taipei, Taiwan 115, ROC, TW;(2) National Center for Theoretical Sciences, PO Box 2-131, Hsinchu, Taiwan 300, ROC, TW |
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| Abstract: | 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.
Received 14 October 1998 |
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| Keywords: | PACS 64 70 Rh Commensurate-incommensurate transition[:AND:] 05 45-a Nonlinear dynamics and nonlinear dynamical systems - 61 44 Fw Incommensurate crystals |
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