Discrete breathers in a model with Morse potentials |
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Authors: | Lü Bin-Bin Deng Yan-Ping Tian Qiang |
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Affiliation: | 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 к. |
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Keywords: | discrete breathers Morse lattice square lattice on-site
potential |
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