Discommensuration theory and shadowing in Frenkel-Kontorova models

PHYSICA D-NONLINEAR PHENOMENA

卷:216

Article; Proceedings Paper

Baesens, C. ; MacKay, R. S.

关键词: nonlinear physics;    dynamical systems;    Frenkel-Kontorova models;    incommensurate structures;    mininium energy states;    discommensurations;    hyperbolicity;    phonon gap;    shadowing theorem;   

DOI  :  10.1016/j.physd.2006.01.017

来源: Elsevier

【 摘 要 】

We prove that if the minimum energy advancing discommensuration of mean spacing p/q for a Frenkel-Kontorova chain is unique up to translations and has phonon gap then all minimum energy states with mean spacing omega just above p/q are approximated exponentially well in q omega - p by concatenations of advancing p/q discommensurations. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

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