Discrete breathers in a model with Morse potentials
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 exi...
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| Published in | Chinese physics B Vol. 19; no. 2; pp. 381 - 387 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.02.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/19/2/026302 |
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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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| AbstractList | 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. 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 Delta *k. |
| Author | 吕彬彬 邓艳平 田强 |
| AuthorAffiliation | Department of Physics, Beijing Normal University, Beijing 100875, China |
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| Cites_doi | 10.1103/PhysRevLett.84.741 10.1088/1674-1056/18/10/049 10.1103/PhysRevB.50.866 10.1088/0951-7715/7/6/006 10.1103/PhysRevLett.70.3935 10.1103/PhysRevLett.75.357 10.1103/PhysRevLett.84.745 10.1103/PhysRevLett.81.3383 10.1038/nature01452 10.1103/PhysRevB.42.4921 10.1016/S0370-1573(97)00068-9 10.1103/PhysRevLett.79.4838 10.7498/aps.58.411 10.1209/epl/i2003-10224-x 10.1103/PhysRevB.41.7835 10.1016/S0167-2789(96)00261-8 10.1103/PhysRevLett.90.044102 10.1103/PhysRevLett.61.970 |
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| SubjectTerms | Approximation Breathers Chains Harmonics Lattices Mathematical analysis Mathematical models Two dimensional 呼吸链 数值方法 旋转波近似 演化分析 色散关系 莫尔斯 |
| Title | Discrete breathers in a model with Morse potentials |
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