Discrete breathers with hard and soft type of nonlinearity in 1D Morse lattices with long-range interactions

A.S. Semenov, E.A. Korznikova, S.V. Dmitriev show affiliations and emails
Received  29 March 2015; Accepted  06 April 2015
This paper is written in Russian
Citation: A.S. Semenov, E.A. Korznikova, S.V. Dmitriev. Discrete breathers with hard and soft type of nonlinearity in 1D Morse lattices with long-range interactions. Lett. Mater., 2015, 5(1) 11-14
BibTex   https://doi.org/10.22226/2410-3535-2015-1-11-14

Abstract

Recently the focus of studies on discrete breathers has arguably shifted from the mathematical proof of their existence in simplified nonlinear lattices towards the search for the long-lived quasi-breathers in real systems, e.g., in crystal lattices. In each particular field, different factors should be taken into account. Atoms in crystals typically interact not only with the nearest neighbors and thus, the effect of long-range interatomic forces is an important issue. When the long-range forces are involved, the tails of the interatomic potentials contribute essentially to the dynamics of the system and in these circumstances one cannot use truncated Taylor expansions of the potentials such as cubic or quartic. In this work we discuss various discrete breathers (more precisely, quasi-breathers) that can be excited in 1D monatomic and diatomic Morse lattices with long-range interactions and sinusoidal on-site potential. This model describes at a qualitative level discrete breathers in pure metals and ordered alloys.

References (17)

1. A. S. Dolgov. Sov. Phys. Solid State 28, 907-909 (1986).
2. A. Sievers, S. Takeno. Phys. Rev. Lett. 61, 970-973 (1988).
3. S. Flach, A. V. Gorbach. Phys. Rep. 467 (1), 1-116 (2008).
4. R. T. Murzaev, A. A. Kistanov, V. I. Dubinko, D. A. Terentyev, S. V. Dmitriev. Computational Materials Science 98, 88-92 (2015).
5. E. A. Korznikova, J. A. Baimova, S. V. Dmitriev. Europhys. Lett. 102, 60004-1-60004-5 (2013).
6. E. A. Korznikova, A. V. Savin, Yu. A. Baimova, S. V. Dmitriev, R. R. Mulyukov. JETP Lett. 96, 222-226 (2012).
7. N. N. Medvedev, M. D. Starostenkov, M. E. Manley. J. Appl. Phys. 114 (21), 213506-1-213506-4. (2013).
8. N. N. Medvedev, M. D. Starostenkov, P. V. Zakharov, A. V. Markidonov. Letters on Materials. 3 (1), 34-37 (2013). (in Russian) [Н. Н. Медведев, М. Д. Старостенков, П. В. Захаров, А. В. Маркидонов. Письма о материалах. 3 (1), 34-37 (2013).].
9. P. V. Zakharov, M. D. Starostenkov, A. M. Eremin, A. V. Markidonov. Fundamentalnie Problemi Sovremennogo Materialovedeniya. 11 (2), 260-265 (2014). (in Russian) [П. В. Захаров, М. Д. Старостенков, А. М. Еремин, А. В. Маркидонов. Фундаментальные проблемы современного материаловедения. 11 (2), 260-265 (2014).].
10. P. V. Zakharov, M. D. Starostenkov, N. N. Medvedev, A. M. Eremin, A. V. Markidonov. Fundamentalnie Problemi Sovremennogo Materialovedeniya. 11 (3), 388-393 (2014). (in Russian) [П. В. Захаров, М. Д. Старостенков, Н. Н. Медведев А. М. Еремин, А. В. Маркидонов Фундаментальные проблемы современного материаловедения. 11 (3), 388-393 (2014).].
11. N. N. Medvedev, M. D. Starostenkov, P. V. Zakharov, O. V. Pozidaeva. Technical Physics Letters. 37 (2), 98-101 (2011).
12. А. А. Kistanov, E. A. Кorznikova, S. Yu. Fomin, K. Zhou, S. V. Dmitriev. Letters on Materials. 4 (4), 315-318 (2014).
13. А. А. Kistanov, S. V. Dmitriev. Letters on materials. 2 (3), 143-146 (2012). (in Russian) [А. А. Кистанов, С. В. Дмитриев. Письма о материалах. 2 (3), 143-146 (2012).].
14. V. I. Dubinko, A. V. Dubinko, S. V. Dmitriev. Letters on Materials. 3 (3), 239-247 (2013). (in Russian) [В. И. Дубинко, А. В. Дубинко, С. В. Дмитриев. Письма о материалах. 3 (3), 239-247 (2013).].
15. S. V. Dmitriev. Letters on Materials. 1 (2), 78-83 (2011). (in Russian) [С. В. Дмитриев. Письма о материалах. 1 (2), 78-83 (2011).].
16. A. J. Sievers, M. Sato, J. B. Page, T. Rossler. Phys. Rev. B 88, 104305-1-104305-7 (2013).
17. A. A. Kistanov, S. V. Dmitriev, A. S. Semenov, V. I. Dubinko, D. A. Terent’ev. Technical Physics Letters. 40 (8), 657-661 (2014).

Similar papers