Article ID Journal Published Year Pages File Type
1899987 Physica D: Nonlinear Phenomena 2006 6 Pages PDF
Abstract

We prove that if the minimum energy advancing discommensuration of mean spacing p/qp/q for a Frenkel–Kontorova chain is unique up to translations and has phonon gap then all minimum energy states with mean spacing ωω just above p/qp/q are approximated exponentially well in qω−pqω−p by concatenations of advancing p/qp/q discommensurations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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