Discrete breathers in a model with Morse potentials

作者：Lue Bin-Bin; Deng Yan-Ping; Tian Qiang

来源：Chinese Physics B, 2010, 19(2): 026302.

• discrete breathers
• Morse lattice
• square lattice
• on-site potential

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.

• 出版日期2010-2
• 单位北京师范大学