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Discommensuration theory and shadowing in Frenkel-Kontorova models
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UNSPECIFIED (2006) Discommensuration theory and shadowing in Frenkel-Kontorova models. In: Conference on Nonlinear Physics - Condensed Matter, Dynamical Systems and Biophysics, Inst Henri Poincare, Paris, FRANCE, MAY 30-31, 2005. Published in: PHYSICA D-NONLINEAR PHENOMENA, 216 (1). pp. 179-184. doi:10.1016/j.physd.2006.01.017 ISSN 0167-2789.
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Official URL: http://dx.doi.org/10.1016/j.physd.2006.01.017
Abstract
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.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 1 April 2006 | ||||
Dates: |
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Volume: | 216 | ||||
Number: | 1 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 179-184 | ||||
DOI: | 10.1016/j.physd.2006.01.017 | ||||
Publication Status: | Published | ||||
Title of Event: | Conference on Nonlinear Physics - Condensed Matter, Dynamical Systems and Biophysics | ||||
Location of Event: | Inst Henri Poincare, Paris, FRANCE | ||||
Date(s) of Event: | MAY 30-31, 2005 |
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