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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.
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Keywords:
- friction /
- FK model /
- commensurate /
- incommensurate
[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 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 57 3160]
[10] Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 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 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 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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[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 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 57 3160]
[10] Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 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 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 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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