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Nonlinear Dynamics of a Sliding Chain in a Periodic Potential |
| YUAN Xiao-Ping;ZHENG Zhi-Gang |
| Department of Physics and the Beijing-Hong-Kong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875 |
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| Cite this article: |
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YUAN Xiao-Ping, ZHENG Zhi-Gang 2007 Chin. Phys. Lett. 24 2513-2516 |
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Abstract Nonlinear dynamics of the sliding process of a chain driven with a constant velocity at one end in a periodic substrate potential is investigated. The driven chain exhibits distinctly different dynamical characteristics at different velocities. In the low velocity region, the chain moves in a stick--slip manner. When the driving velocity is increased, the stick--slip behaviour is replaced by
complicated and regular oscillatory motions. The dependence of the dynamics on the coupling strength is studied and the step-like behaviour is found, where different steps correspond to different dynamical phases.
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| Keywords:
05.45.Xt
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Received: 26 January 2007
Published: 16 August 2007
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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[1]Persson B N J 1998 Sliding Friction: Physical Principles andApplications (Berlin: Springer)
[2]Weiss M and Elmer F J 1996 Phys. Rev. B 53 7539
[3]Braun O M and Kivshar Y S 2004 The Frenkel-Kontorova Model:Concepts, Methods, and Applications (Berlin: Springer)
[4]Blonski S, Brostow W and Kub\'at 1994 Phys. Rev. B 49 6494
[5]Brostow W and Kub\'at 1993 Phys. Rev. B 47 7659
[6]Aubry S 1983 J. Phys. (France) 44 147
[7]R\"oder J, Hammerberg J E, Holian B L and BishopA R 1998 Phys. Rev. B 57 2759
[8]Braun O M, Dauxois T, Paliy M V and Peyrard M 1996 Phys. Rev. B 54 321
[9]Braun O M, Dauxois T, Paliy M V and Peyrard M 1997 Phys. Rev. E 55 3598
[10]Gao L, Gu J Zh and Hu B B 2002 Phys. Rev. B 66 064309
[11]Braun O M, Bishop A R and R\"oder J 1997 Phys.Rev. Lett. 79 3692
[12]Strunz T and Elmer F J 1998 Phys. Rev. E 581601
[13]Strunz T and Elmer F J 1998 Phys. Rev. E 581612
[14]Persson B N J and Volokitin A I 1995 J. Chem. Phys. 103 8679
[15]Elmer F J 1994 Phys. Rev. E 50 4470
[16]Rozman M G, Urbakh M and Klafter J 1996 Phys.Rev. Lett. 77 683
[17]Yuan X P, Chen H B and Zheng Z G 2006 Chin. Phys. 15 1464
[18]Vanossi A, R\"oder J, Bishop A R and Bortolani V 2000 Phys. Rev. E 63 017203 Vanossi A, R\"oder J, Bishop A R and Bortolani V 2003 Phys.Rev. E 67 016605
[19]Krupenkin T N and Taylor P L 1995 Phys. Rev. B 52 6400 |
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