基底势函数的无序性对静摩擦力的影响

杨阳; 王苍龙; 段文山; 石玉仁; 陈建敏

doi:10.7498/aps.61.130501

摘要

在二维Frenkel-Kontorova模型中, 为了更好地模拟真实的物理系统, 采用高斯波的平移叠加作为基底, 运用分子动力学模拟方法, 讨论了有相互作用的原子平面在公度、不公度两种情况下, 原子在无序基底上运动的摩擦机理, 以及基底的无序对静摩擦力Fs 的影响.

关键词:

摩擦 /
FK模型 /
公度 /
不公度

In order to better simulate a real model which can be realized in experiment, we study a two-dimensional(2D) Frenkel-Kontorova(FK) model driven by the disordered substrate potential which is charactered by the sum of identical Gaussian functions. Commensurate and incommensurate interfaces are discussed. In the paper, we mainly analyse the mechanism of friction, and the effects of static friction force on the disordered substrate potential.

Keywords:

作者及机构信息

1.
西北师范大学物理与电子工程学院, 西北师范大学与中国科学院近代物理研究所极端环境原子分子物理实验室, 兰州 730070;

2.
甘肃省原子分子物理与功能材料重点实验室, 兰州 730070;

3.
中国科学院兰州化学物理研究所固体润滑国家重点实验室, 兰州 730000

基金项目: 国家自然科学基金(批准号: 10875098) 和西北师范大学科技创新工程基金(批准号: NWNU-KJCXGC-03-48) 资助的课题.

Authors and contacts

1.
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China;

2.
Key Laboratory of Atomic and Molecular Physics & Functional Materials of Gansu Province, Lanzhou 730070, China;

3.
State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10875098), and the Natural Science Foundation of Northwest Normal University (Grant No. NWNU-KJCXGC-03-48).

参考文献

[1]	Braun O M, Pcyrard M 1995 Phys. Rev. E 51 4999
[2]	Kontorova T A, Frenkel Y I 1938 Zh. Eksp. Teor. Fiz 8 1340
[3]	Xu H B, Xu A G, Wang G R, Chen S G 2000 Chin. Phys. 9 0611
[4]	Li H B, Zhao H, Wang Y H 2002 Phys. Lett. A 298 361
[5]	Guo Y, Qu Z H, Zhang Z Y 2006 Phys. Rev. B 73 094118
[6]	Persson B N J 1999 Surf. Sci. Rep. 33 83
[7]	Qian L M, Luo J B, Wen S Z, Xiao X D 2000 Acta Phys. Sin. 49 2240 [钱林茂, 雒建斌, 温诗铸, 萧旭东 2000 物理学报 49 2240]
[8]	Wen S Z 1998 Nano Tnbology (Beijing: Tisinghua University Press) [温诗铸 1998 纳米摩擦学 (北京: 清华大学出版社]
[9]	Zhang Z H, Han K, Li H P, Tang G, Wu Y X, Wang H T, Bai L 2008 Acta Phys. Sin. 57 3160 (in Chinese) [张兆慧, 韩奎, 李海鹏, 唐刚, 吴玉喜, 王洪涛, 白磊 2008 物理学报 57 3160]
[10]	Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 物理学报 58 1504]
[11]	Boyce J B, Huberman B A 1979 Phys. Rep. 51 189-265
[12]	Paneth H R 1950 Phys. Rev. 80 708
[13]	Hu B, Yang L 2005 Chaos 15 015119
[14]	Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 016130
[15]	Hu B, Yang L 2006 Phys. Rev. Lett. 97 124302
[16]	Pynn R 1979 Nature 281 433
[17]	Grüner G 1988 Rev. Mod. Phys. 60 1129
[18]	Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 物理学报 55 2427]
[19]	Li X L, Liu F, Lin M M, Chen J M, Duan W S 2010 Acta Phys. Sin. 59 2589 (in Chinese) [李晓礼, 刘锋, 林麦麦, 陈建敏, 段文山 2010 物理学报 59 2589]
[20]	Yang Y, Duan W S, Chen J M, Yang L, Teki?J, Shao Z G, Wang C L 2010 Phys. Rev. E 82 051119
[21]	Han X Q, Jiang H, Shi Y R, Liu Y X, Sun J H, Chen J M, Duan W S 2011 Acta Phys. Sin. 60 116801
[22]	Braun O M, Bishop A R, Röder J 1997 Phys. Rev. Lett. 79 3692
[23]	Braun O M, Zhang H, Hu B, Tekić J 2003 Phys. Rev. E 67 066602
[24]	Hirano M 2003 Wear 254 932
[25]	Li H X, Xu T, Wang C B, Chen J M, Zhou H D, Liu H W 2007 Tribol. Int 40 132
[26]	Yang Y, Wang C L, Duan W S, Chen J M 2011 Chin. Phys. Lett. 28 030503
[27]	Yang Y, Duan W S, Yang L, Chen J M, Lin M M 2011 Euro. Phys. Lett. 93 16001
[28]	Li R T, Duan W S, Yang Y, Wang C L, Chen J M 2011 Euro. Phys. Lett. 94 56003
[29]	Reichhardt C, Olaon C J, Nori F 1997 Phys. Rev. Lett. 78 2648
[30]	Reichhardt C, Olson C J, Nori F 1998 Phys. Rev. B 58 6534
[31]	Reichhardt C, Gronbech-Jensen N 2001 Phys. Rev. B 63 054510
[32]	Reichhardt C, Zimányi G T, Gronbech-Jensen N 2001 Phys. Rev. B 64 014501
[33]	Reichhardt C, Zimányi G T, Scalettar R T, Hoffmann A, Schuller I K 2001 Phys. Rev. B 64 052503
[34]	Remoissenet M, Peyrard M 1984 Phys. Rev. B 29 3153
[35]	Vanossi A, Röder J, Bisho A Rp, Bortolani V 2003 Phys. Rev. E 67 016605
[36]	Guerra R, Vanossi A, Ferrario M 2007 Surf. Sci. 601 3676
[37]	Wang C L, Duan W S, Hong X R, Chen J M 2008 App. Phys. Lett. 93 1
[38]	Zheng Z G, Hu B, Hu G 1998 Phys. Rev. 58 5453

施引文献

[1]	Braun O M, Pcyrard M 1995 Phys. Rev. E 51 4999
[2]	Kontorova T A, Frenkel Y I 1938 Zh. Eksp. Teor. Fiz 8 1340
[3]	Xu H B, Xu A G, Wang G R, Chen S G 2000 Chin. Phys. 9 0611
[4]	Li H B, Zhao H, Wang Y H 2002 Phys. Lett. A 298 361
[5]	Guo Y, Qu Z H, Zhang Z Y 2006 Phys. Rev. B 73 094118
[6]	Persson B N J 1999 Surf. Sci. Rep. 33 83
[7]	Qian L M, Luo J B, Wen S Z, Xiao X D 2000 Acta Phys. Sin. 49 2240 [钱林茂, 雒建斌, 温诗铸, 萧旭东 2000 物理学报 49 2240]
[8]	Wen S Z 1998 Nano Tnbology (Beijing: Tisinghua University Press) [温诗铸 1998 纳米摩擦学 (北京: 清华大学出版社]
[9]	Zhang Z H, Han K, Li H P, Tang G, Wu Y X, Wang H T, Bai L 2008 Acta Phys. Sin. 57 3160 (in Chinese) [张兆慧, 韩奎, 李海鹏, 唐刚, 吴玉喜, 王洪涛, 白磊 2008 物理学报 57 3160]
[10]	Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 物理学报 58 1504]
[11]	Boyce J B, Huberman B A 1979 Phys. Rep. 51 189-265
[12]	Paneth H R 1950 Phys. Rev. 80 708
[13]	Hu B, Yang L 2005 Chaos 15 015119
[14]	Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 016130
[15]	Hu B, Yang L 2006 Phys. Rev. Lett. 97 124302
[16]	Pynn R 1979 Nature 281 433
[17]	Grüner G 1988 Rev. Mod. Phys. 60 1129
[18]	Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 物理学报 55 2427]
[19]	Li X L, Liu F, Lin M M, Chen J M, Duan W S 2010 Acta Phys. Sin. 59 2589 (in Chinese) [李晓礼, 刘锋, 林麦麦, 陈建敏, 段文山 2010 物理学报 59 2589]
[20]	Yang Y, Duan W S, Chen J M, Yang L, Teki?J, Shao Z G, Wang C L 2010 Phys. Rev. E 82 051119
[21]	Han X Q, Jiang H, Shi Y R, Liu Y X, Sun J H, Chen J M, Duan W S 2011 Acta Phys. Sin. 60 116801
[22]	Braun O M, Bishop A R, Röder J 1997 Phys. Rev. Lett. 79 3692
[23]	Braun O M, Zhang H, Hu B, Tekić J 2003 Phys. Rev. E 67 066602
[24]	Hirano M 2003 Wear 254 932
[25]	Li H X, Xu T, Wang C B, Chen J M, Zhou H D, Liu H W 2007 Tribol. Int 40 132
[26]	Yang Y, Wang C L, Duan W S, Chen J M 2011 Chin. Phys. Lett. 28 030503
[27]	Yang Y, Duan W S, Yang L, Chen J M, Lin M M 2011 Euro. Phys. Lett. 93 16001
[28]	Li R T, Duan W S, Yang Y, Wang C L, Chen J M 2011 Euro. Phys. Lett. 94 56003
[29]	Reichhardt C, Olaon C J, Nori F 1997 Phys. Rev. Lett. 78 2648
[30]	Reichhardt C, Olson C J, Nori F 1998 Phys. Rev. B 58 6534
[31]	Reichhardt C, Gronbech-Jensen N 2001 Phys. Rev. B 63 054510
[32]	Reichhardt C, Zimányi G T, Gronbech-Jensen N 2001 Phys. Rev. B 64 014501
[33]	Reichhardt C, Zimányi G T, Scalettar R T, Hoffmann A, Schuller I K 2001 Phys. Rev. B 64 052503
[34]	Remoissenet M, Peyrard M 1984 Phys. Rev. B 29 3153
[35]	Vanossi A, Röder J, Bisho A Rp, Bortolani V 2003 Phys. Rev. E 67 016605
[36]	Guerra R, Vanossi A, Ferrario M 2007 Surf. Sci. 601 3676
[37]	Wang C L, Duan W S, Hong X R, Chen J M 2008 App. Phys. Lett. 93 1
[38]	Zheng Z G, Hu B, Hu G 1998 Phys. Rev. 58 5453

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