Non-KAM (Kolmogorov-Arnold-Moser) incommensurate states of the discrete Frenkel-Kontorova chain
Open Access
- 1 January 1984
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 45 (9) , 409-412
- https://doi.org/10.1051/jphyslet:01984004509040900
Abstract
The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic potential strength. Every Cantorus describing the pinned phase is shown to belong to the stochastic layerKeywords
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