Hard-type anharmonicity gap discrete breather in 2D biatomic crystal
Spatially localized nonlinear oscillations in the form of a discrete breather (DB) is a recently discovered phenomenon widely investigated in different physical systems due to its potential impact on the structure and dynamics of those systems. Our research is focused on the variety of DB in crystal...
Saved in:
Main Authors: | , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2019
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/105637 http://hdl.handle.net/10220/50255 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-105637 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-1056372023-03-04T17:20:39Z Hard-type anharmonicity gap discrete breather in 2D biatomic crystal Semenov, A. S. Fomin, S. Yu. Soboleva, E. G. Zhou, Kun School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering 2D Lattice Nonlinear Dynamics Spatially localized nonlinear oscillations in the form of a discrete breather (DB) is a recently discovered phenomenon widely investigated in different physical systems due to its potential impact on the structure and dynamics of those systems. Our research is focused on the variety of DB in crystals. Depending on the type of the crystal and corresponding phonon spectrum one can get a gap DB or a DB with the frequency above the phonon spectrum. Most of gap DBs previously addressed in the literature were characterized by a soft nonlinearity type with frequencies splitting off from the upper edge of the phonon spectrum gap. In this work we managed to excite a hard nonlinearity type DB with a frequency within the band gap. In order to achieve this goal we have excited four types of delocalized vibrational modes in biatomic crystal with atomic mass difference m1/m2=10 providing the existence of sufficiently wide phonon band gap. Analysis of amplitude-frequency dependences of two of those modes revealed the hard nonlinearity type with the frequency within the spectrum. The fourth mode with moving heavy atoms had the frequency within the band gap growing with the amplitude. Application of localization function with radial symmetry to this delocalized vibrational mode allowed us to obtain a DB with hard nonlinearity type in the band gap. Properties of the DB were analyzed. Published version 2019-10-24T05:00:04Z 2019-12-06T21:55:03Z 2019-10-24T05:00:04Z 2019-12-06T21:55:03Z 2017 Journal Article Semenov, A. S., Fomin, S. Y., Zhou, K., & Soboleva, E. (2017). Hard-type anharmonicity gap discrete breather in 2D biatomic crystal. Letters on Materials, 7(3), 327-331. doi:10.22226/2410-3535-2017-3-327-331 https://hdl.handle.net/10356/105637 http://hdl.handle.net/10220/50255 10.22226/2410-3535-2017-3-327-331 en Letters on Materials © 2017 Institute for Metals Superplasticity Problems of Russian Academy of Sciences. This is an open-access article distributed under the terms of the Creative Commons Attribution License. 5 p. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
Engineering::Mechanical engineering 2D Lattice Nonlinear Dynamics |
spellingShingle |
Engineering::Mechanical engineering 2D Lattice Nonlinear Dynamics Semenov, A. S. Fomin, S. Yu. Soboleva, E. G. Zhou, Kun Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
description |
Spatially localized nonlinear oscillations in the form of a discrete breather (DB) is a recently discovered phenomenon widely investigated in different physical systems due to its potential impact on the structure and dynamics of those systems. Our research is focused on the variety of DB in crystals. Depending on the type of the crystal and corresponding phonon spectrum one can get a gap DB or a DB with the frequency above the phonon spectrum. Most of gap DBs previously addressed in the literature were characterized by a soft nonlinearity type with frequencies splitting off from the upper edge of the phonon spectrum gap. In this work we managed to excite a hard nonlinearity type DB with a frequency within the band gap. In order to achieve this goal we have excited four types of delocalized vibrational modes in biatomic crystal with atomic mass difference m1/m2=10 providing the existence of sufficiently wide phonon band gap. Analysis of amplitude-frequency dependences of two of those modes revealed the hard nonlinearity type with the frequency within the spectrum. The fourth mode with moving heavy atoms had the frequency within the band gap growing with the amplitude. Application of localization function with radial symmetry to this delocalized vibrational mode allowed us to obtain a DB with hard nonlinearity type in the band gap. Properties of the DB were analyzed. |
author2 |
School of Mechanical and Aerospace Engineering |
author_facet |
School of Mechanical and Aerospace Engineering Semenov, A. S. Fomin, S. Yu. Soboleva, E. G. Zhou, Kun |
format |
Article |
author |
Semenov, A. S. Fomin, S. Yu. Soboleva, E. G. Zhou, Kun |
author_sort |
Semenov, A. S. |
title |
Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
title_short |
Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
title_full |
Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
title_fullStr |
Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
title_full_unstemmed |
Hard-type anharmonicity gap discrete breather in 2D biatomic crystal |
title_sort |
hard-type anharmonicity gap discrete breather in 2d biatomic crystal |
publishDate |
2019 |
url |
https://hdl.handle.net/10356/105637 http://hdl.handle.net/10220/50255 |
_version_ |
1759854129710104576 |