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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2016, Volume 103, Issue 4, Pages 303–308
DOI: https://doi.org/10.7868/S0370274X16040123
(Mi jetpl4874)
 

This article is cited in 60 scientific papers (total in 60 papers)

NONLINEAR DYNAMICS

Highly symmetric discrete breather in a two-dimensional Morse crystal

E. A. Korznikovaa, S. Yu. Fominb, E. G. Sobolevac, S. V. Dmitrievda

a Institute for Metals Superplasticity Problems, Russian Academy of Sciences, Ufa, 450001, Russia
b Ufa State Aviation Technical University, Ufa, 450077, Russia
c Yurga Institute of Technology (Branch), National Research Tomsk Polytechnic University Yurga, Tomsk, 652050, Russia
d National Research Tomsk Polytechnic University, Tomsk, 634050, Russia
References:
Abstract: It has been shown recently that a moving discrete breathers localized in one close-packed atomic row can be excited in a two-dimensional monoatomic crystal with Morse interaction. In this work, a motionless discrete breathers having the threefold symmetry axis has been excited in the same crystal. The initial conditions for the excitation of such discrete breathers are set by the superposition of a bell-shaped function on a planar nonlinear phonon mode with the wave vector lying at the edge of the Brillouin zone. In addition, the displacement of the centers of atomic oscillations from the center of the discrete breathers owing to the asymmetry of the Morse potential is taken into account. The results obtained make it possible to approach the search for highly symmetric discrete breathers in three-dimensional crystals.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-5283.2015.2
Russian Science Foundation 14-13-00982
Received: 25.11.2015
Revised: 11.01.2016
English version:
Journal of Experimental and Theoretical Physics Letters, 2016, Volume 103, Issue 4, Pages 277–281
DOI: https://doi.org/10.1134/S0021364016040081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Korznikova, S. Yu. Fomin, E. G. Soboleva, S. V. Dmitriev, “Highly symmetric discrete breather in a two-dimensional Morse crystal”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:4 (2016), 303–308; JETP Letters, 103:4 (2016), 277–281
Citation in format AMSBIB
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\vol 103
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\pages 303--308
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\jour JETP Letters
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  • This publication is cited in the following 60 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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