|
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
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.
Received: 25.11.2015 Revised: 11.01.2016
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
Linking options:
https://www.mathnet.ru/eng/jetpl4874 https://www.mathnet.ru/eng/jetpl/v103/i4/p303
|
Statistics & downloads: |
Abstract page: | 212 | Full-text PDF : | 35 | References: | 43 | First page: | 15 |
|