Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure
YAN Yan-Zong1**, WANG Cang-Long2,3, SHAO Zhi-Gang4, YANG Lei2,3,5
1College of Mathematics and Statistics, Longdong University, Qingyang 745000 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 3College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070 4Laboratary of Quantum Information Technology, Institute of Condensed Matter Physics, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006 5Department of Physics, Lanzhou University, Lanzhou 730000
Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure
YAN Yan-Zong1**, WANG Cang-Long2,3, SHAO Zhi-Gang4, YANG Lei2,3,5
1College of Mathematics and Statistics, Longdong University, Qingyang 745000 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 3College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070 4Laboratary of Quantum Information Technology, Institute of Condensed Matter Physics, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006 5Department of Physics, Lanzhou University, Lanzhou 730000
Abstract：Dynamical mode locking phenomena in incommensurate structures of the dc- and ac-driven overdamped Frenkel–Kontorova model are studied by molecular-dynamics simulations. It is found that the Shapiro steps exhibit significantly different amplitude and frequency dependences from the ones observed in the commensurate structures. The step widths still oscillate with the amplitude, but the form is no longer Bessel-like, i.e., the anomaly appears in our simulations. The same type of anomalies is also exhibited by the critical depinning force. The oscillatory behavior and the anomalies are also revealed in the (F,Fac) phase diagram where three phases are observed. These oscillations are directly correlated with the existence and the stability of interference phenomena in real systems.
(General theory of classical mechanics of discrete systems)
引用本文:
YAN Yan-Zong, WANG Cang-Long, SHAO Zhi-Gang, YANG Lei. Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure[J]. 中国物理快报, 2012, 29(6): 60507-060507.
YAN Yan-Zong, WANG Cang-Long, SHAO Zhi-Gang, YANG Lei. Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure. Chin. Phys. Lett., 2012, 29(6): 60507-060507.
2012, Vol. 29 
