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
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
摘要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.
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.
YUAN Xiao-Ping;ZHENG Zhi-Gang. Nonlinear Dynamics of a Sliding Chain in a Periodic Potential[J]. 中国物理快报, 2007, 24(9): 2513-2516.
YUAN Xiao-Ping, ZHENG Zhi-Gang. Nonlinear Dynamics of a Sliding Chain in a Periodic Potential. Chin. Phys. Lett., 2007, 24(9): 2513-2516.
[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
2007, Vol. 24 
