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Discrete breathers in a model with Morse potentials |
| Lü Bin-Bin(吕彬彬)†, Deng Yan-Ping(邓艳平), and Tian Qiang(田强) |
| Department of Physics, Beijing Normal University, Beijing 100875, China |
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Abstract Under harmonic approximation, this paper discusses the linear dispersion relation of the one-dimensional chain. The existence and evolution of discrete breathers in a general one-dimensional chain are analysed for two particular examples of soft (Morse) and hard (quartic) on-site potentials. The existence of discrete breathers in one-dimensional and two-dimensional Morse lattices is proved by using rotating wave approximation, local anharmonic approximation and a numerical method. The localization and amplitude of discrete breathers in the two-dimensional Morse lattice with on-site harmonic potentials correlate closely to the Morse parameter a and the on-site parameter $\kappa$.
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Received: 09 April 2009
Revised: 02 June 2009
Accepted manuscript online:
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PACS:
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63.20.Pw
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(Localized modes)
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63.20.D-
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(Phonon states and bands, normal modes, and phonon dispersion)
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63.20.Ry
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(Anharmonic lattice modes)
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| Fund: Project supported by the
National Natural Science Foundation of China (Grant No. 1057411),
and the Foundation for Researching Group by Beijing Normal
University. |
Cite this article:
Lü Bin-Bin(吕彬彬), Deng Yan-Ping(邓艳平), and Tian Qiang(田强) Discrete breathers in a model with Morse potentials 2010 Chin. Phys. B 19 026302
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