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

doi:10.1088/1674-1056/20/1/014601

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.

Keywords: nanotribology Frenkel–Kontorova model phase transitions

Received: 03 May 2010
Revised: 02 September 2010
Accepted manuscript online:

PACS:	46.50.+a	(Fracture mechanics, fatigue and cracks)
	45.05.+x	(General theory of classical mechanics of discrete systems)
	45.20.D-	(Newtonian mechanics)

Fund: 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.

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Wang Cang-Long(王苍龙), Duan Wen-Shan(段文山), Chen Jian-Min(陈建敏), andShi Yu-Ren(石玉仁) Anisotropic character of atoms in a two-dimensional Frenkel–Kontorova model 2011 Chin. Phys. B 20 014601

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

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