Abstract
Incommensurate configurations of Torus and Cantorus type, respectively, in a 3-harmonics variant of the Frenkel-Kontorova model are investigated. Novel phenomena that further relativize and generalize the conventional scenario based on the “standard map” are observed. In particular various competing types of Cantorus configurations can be detected. Besides cascades of secondorder Torus-Cantorus transitions the groundstate phase diagram contains an extremely complicated pattern of second-order and quasi-first order Cantorus-Cantorus transition lines. The system also supports metastable Cantorus configurations, especially unsymmetrical ones coming in degenerate pairs. The annihilation of hysteretic configurations is shown to be driven by exponentially localized soft modes.
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