Friction phenomena in a two-dimensional Frenkel-Kontorova model

doi:10.1088/1674-1056/19/2/026201

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 26201-026201.doi: 10.1088/1674-1056/19/2/026201

Friction phenomena in a two-dimensional Frenkel-Kontorova model

林麦麦¹, 段文山¹, 陈建敏²

(1)Department of Physics, Northwest Normal University, Lanzhou 730070, China; (2)State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China

收稿日期:2009-06-12 修回日期:2009-07-10 出版日期:2010-02-15 发布日期:2010-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grand Nos.~50575217, 10875098 and 50421502), and the Natural Science Foundation of Northwest Normal University (Grant Nos. NWNU-KJCXGC-03-17 and NWNU-KJCXGC-03-48).

Friction phenomena in a two-dimensional Frenkel-Kontorova model

Lin Mai-Mai(林麦麦)^a)^†, Duan Wen-Shan(段文山)^a), and Chen Jian-Min(陈建敏)^b)

^a Department of Physics, Northwest Normal University, Lanzhou 730070, China; ^b State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received:2009-06-12 Revised:2009-07-10 Online:2010-02-15 Published:2010-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grand Nos. 50575217, 10875098 and 50421502), and the Natural Science Foundation of Northwest Normal University (Grant Nos. NWNU-KJCXGC-03-17 and NWNU-KJCXGC-03-48).

摘要/Abstract

摘要： By using the molecular dynamic simulation method with a fourth-order Runge--Kutta algorithm, a two-dimensional dc- and ac-driven Frenkel--Kontorova (FK) model with a square symmetry substrate potential for a square lattice layer has been investigated in this paper. For this system, the effects of many different parameters on the average velocity and the static friction force have been studied. It is found that not only the amplitude and frequency of ac-driven force, but also the direction of the external driving force and the misfit angle between two layers have some strong influences on the static friction force. It can be concluded that the superlubricity phenomenon appears easily with a larger ac amplitude and lower ac frequency for some special direction of the external force and misfit angle.

Abstract: By using the molecular dynamic simulation method with a fourth-order Runge--Kutta algorithm, a two-dimensional dc- and ac-driven Frenkel--Kontorova (FK) model with a square symmetry substrate potential for a square lattice layer has been investigated in this paper. For this system, the effects of many different parameters on the average velocity and the static friction force have been studied. It is found that not only the amplitude and frequency of ac-driven force, but also the direction of the external driving force and the misfit angle between two layers have some strong influences on the static friction force. It can be concluded that the superlubricity phenomenon appears easily with a larger ac amplitude and lower ac frequency for some special direction of the external force and misfit angle.

Key words: Frenkel--Kontorova model, static friction force, Runge--Kutta method

中图分类号: (Friction, tribology, and hardness)

62.20.Qp

81.40.Pq (Friction, lubrication, and wear) 61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling)

林麦麦, 段文山, 陈建敏. Friction phenomena in a two-dimensional Frenkel-Kontorova model[J]. 中国物理B, 2010, 19(2): 26201-026201.

Lin Mai-Mai(林麦麦), Duan Wen-Shan(段文山), and Chen Jian-Min(陈建敏). Friction phenomena in a two-dimensional Frenkel-Kontorova model[J]. Chin. Phys. B, 2010, 19(2): 26201-026201.

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Friction phenomena in a two-dimensional Frenkel-Kontorova model

Friction phenomena in a two-dimensional Frenkel-Kontorova model

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