| Propagation and collision of compacton-like kinks in Klein—Gordon lattice system |
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| 引用本文： | 夏庆林,易健宏,李丽娅,彭元东.Propagation and collision of compacton-like kinks in Klein—Gordon lattice system[J].中国物理 B,2005,14(3):571-575. |
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| 作者姓名： | 夏庆林 易健宏 李丽娅 彭元东 |
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| 作者单位： | School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China;School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; Department of Materials, Oxford University, Parks Road, Oxford QXI 3PH, UK;School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China;School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China |
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| 基金项目： | Project supported by the Nature Science Foundation of Hunan Province (Grant No 02JJY2079) and the Youth Foundation of School of Physics Science and Technology of Central South University. |
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| 摘 要： | We study the propagation and collision of the compacton-like kinks in the system of an anharmonic lattice with a double well on-site potential by a direct algebraic method and numerical experiments. It is found that the localization of the compacton-like kinks is related to the nonlinear coupling parameter Cnl and the potential barrier height V0 of the double well potential. The velocity of the propagation of the compacton-like kinks is determined by the linear coupling parameter Cl, the nonlinear coupling parameter Cnl and the localization parameter q. Numerical experiments demonstrate that appropriate Cl is not detrimental to a stable propagation of the compacton-like kinks. However, the collision of compacton-like kinks and anti-kinks in the lattice with comparatively small Cl leads to the emergence of a discrete stationary breather and small amplitude nonlinear oscillation background, while moderate Cl results in the emergence of two deformed kinks with radiating oscillations and lower propagation velocities.
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| 关 键 词： | Klein—Gordon lattice compacton-like kink propagation collision |
| 收稿时间： | 8/4/2004 12:00:00 AM |
Propagation and collision of compacton-like kinks in Klein—Gordon lattice system |
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| Xia Qing-Lin,Yi Jian-Hong,Li Li-Ya and Peng Yuan-Dong.Propagation and collision of compacton-like kinks in Klein—Gordon lattice system[J].Chinese Physics B,2005,14(3):571-575. |
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| Authors: | Xia Qing-Lin Yi Jian-Hong Li Li-Ya and Peng Yuan-Dong |
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| Institution: | School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; Department of Materials, Oxford University, Parks Road, Oxford QXI 3PH, UK |
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| Abstract: | We study the propagation and collision of the compacton-like kinks in the system of an anharmonic lattice with a double well on-site potential by a direct algebraic method and numerical experiments. It is found that the localization of the compacton-like kinks is related to the nonlinear coupling parameter Cnl and the potential barrier height V0 of the double well potential. The velocity of the propagation of the compacton-like kinks is determined by the linear coupling parameter Cl, the nonlinear coupling parameter Cnl and the localization parameter q. Numerical experiments demonstrate that appropriate Cl is not detrimental to a stable propagation of the compacton-like kinks. However, the collision of compacton-like kinks and anti-kinks in the lattice with comparatively small Cl leads to the emergence of a discrete stationary breather and small amplitude nonlinear oscillation background, while moderate Cl results in the emergence of two deformed kinks with radiating oscillations and lower propagation velocities. |
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| Keywords: | Klein—Gordon lattice compacton-like kink propagation collision |
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