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Ground-State Transition in a Two-Dimensional Frenkel–Kontorova Model |
| YUAN Xiao-Ping1,2, ZHENG Zhi-Gang1**
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1Department of Physics and the Beijing-Hongkong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875
2Information Engineering School, Hangzhou Dianzi University, Hangzhou 310018
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| Cite this article: |
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YUAN Xiao-Ping, ZHENG Zhi-Gang 2011 Chin. Phys. Lett. 28 100507 |
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Abstract The ground state of a generalized Frenkel–Kontorova model with a transversal degree of freedom is studied. When the coupling strength, K, and the frequency of a single−atom vibration in the transversal direction, ω0y, are increased, the ground state of the model undergoes a transition from a two−dimensional configuration to a one-dimensional one. This transition can manifest in different ways. Furthermore, we find that the prerequisite of a two-dimensional ground state is θ≠1/q.
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05.10.-a
05.45.-a
82.40.CK
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Received: 21 July 2011
Published: 28 September 2011
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| PACS: |
05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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