中国物理B ›› 2011, Vol. 20 ›› Issue (1): 14601-014601.doi: 10.1088/1674-1056/20/1/014601

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Anisotropic character of atoms in a two-dimensional Frenkel–Kontorova model

段文山1, 石玉仁1, 王苍龙2, 陈建敏3   

  1. (1)College of Physics and Electronic Engineering, Northwest Normal University, and Laboratory of Atomic and Molecular Physics in Lanzhou, Lanzhou 730070, China; (2)College of Physics and Electronic Engineering, Northwest Normal University, and Laboratory of Atomic and Molecular Physics in Lanzhou, Lanzhou 730070, China;Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; (3)State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 收稿日期:2010-05-03 修回日期:2010-09-02 出版日期:2011-01-15 发布日期:2011-01-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10875098), the Natural Science Foundation of Northwest Normal University, China (Grant Nos. NWNU-KJCXGC-03-48 and NWNU-KJCXGC-03-17), and the Domestic Visiting Scholars Program of the Doctoral Candidates of Northwest Normal University, China.

Anisotropic character of atoms in a two-dimensional Frenkel–Kontorova model

Wang Cang-Long(王苍龙)a)b), Duan Wen-Shan(段文山)a)† , Chen Jian-Min(陈建敏) c),andShi Yu-Ren(石玉仁)a)   

  1. a College of Physics and Electronic Engineering, Northwest Normal University, and Laboratory of Atomic and Molecular Physics in Lanzhou, Lanzhou 730070, China; b Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; c State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • Received:2010-05-03 Revised:2010-09-02 Online:2011-01-15 Published:2011-01-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10875098), the Natural Science Foundation of Northwest Normal University, China (Grant Nos. NWNU-KJCXGC-03-48 and NWNU-KJCXGC-03-17), and the Domestic Visiting Scholars Program of the Doctoral Candidates of Northwest Normal University, China.

摘要: The dynamics of a certain density of interacting atoms arranged on a two-dimensional square lattice, which is made to slide over a two-dimensional periodic substrate potential with also the quare lattice symmetry, in the presence of dissipation, by an externally applied driving force, is studied. By rotating the misfit angle θ, the dynamical behaviour displays two different tribological regimes: one is smooth, the other becomes intermittent. We comment both on the nature of the atomic dynamics in the locked-to-sliding transition, and on the dynamical states displayed during the atom motion at different values of the driving force. In tribological applications, we also investigate how the main model parameters such as the stiffness strength and the magnitude of the adhesive force affect the static friction of the system. In particular, our simulation indicates that the superlubricity will appear.

关键词: nanotribology, Frenkel--Kontorova model, phase transitions

Abstract: The dynamics of a certain density of interacting atoms arranged on a two-dimensional square lattice, which is made to slide over a two-dimensional periodic substrate potential with also the quare lattice symmetry, in the presence of dissipation, by an externally applied driving force, is studied. By rotating the misfit angle θ, the dynamical behaviour displays two different tribological regimes: one is smooth, the other becomes intermittent. We comment both on the nature of the atomic dynamics in the locked-to-sliding transition, and on the dynamical states displayed during the atom motion at different values of the driving force. In tribological applications, we also investigate how the main model parameters such as the stiffness strength and the magnitude of the adhesive force affect the static friction of the system. In particular, our simulation indicates that the superlubricity will appear.

Key words: nanotribology, Frenkel–Kontorova model, phase transitions

中图分类号:  (Fracture mechanics, fatigue and cracks)

  • 46.50.+a
45.05.+x (General theory of classical mechanics of discrete systems) 45.20.D- (Newtonian mechanics)