Highly symmetric discrete breather in a two-dimensional Morse crystal
- Authors: Korznikova E.A.1, Fomin S.Y.2, Soboleva E.G.3, Dmitriev S.V.1,4
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Affiliations:
- Institute for Metals Superplasticity Problems
- Ufa State Aviation Technical University
- Yurga Institute of Technology (Branch)
- National Research Tomsk Polytechnic University
- Issue: Vol 103, No 4 (2016)
- Pages: 277-281
- Section: Nonlinear Phenomena
- URL: https://journals.rcsi.science/0021-3640/article/view/159087
- DOI: https://doi.org/10.1134/S0021364016040081
- ID: 159087
Cite item
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.
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About the authors
E. A. Korznikova
Institute for Metals Superplasticity Problems
Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450001
S. Yu. Fomin
Ufa State Aviation Technical University
Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450077
E. G. Soboleva
Yurga Institute of Technology (Branch)
Email: dmitriev.sergey.v@gmail.com
Russian Federation, Tomsk, 652050
S. V. Dmitriev
Institute for Metals Superplasticity Problems; National Research Tomsk Polytechnic University
Author for correspondence.
Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450001; Tomsk, 634050
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