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Locked-to-sliding phase transition is studied based on the two-dimensional Frenkel-Kontorova model in this paper. The method of molecular dynamics simulation is used. The effect of the static friction force on system parameter is investigated numerically when the upper layer atoms are of the hexagon symmetric structure.
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Keywords:
- two-dimensional Frenkel-Kontorova model /
- super-lubricity /
- method of molecular dynamics simulation /
- friction
[1] Kontorova T A, Frenkel Y I 1938 Zh. Eksp. Teor. Fiz. 8 1340
[2] Blatter G, Feigel'man M V, Geshkenbein V B, Larkin A I, Vinokur V M 1994 Rev. Mod. Phys. 66 1125
[3] Marley A C, Higgins M J, Bhattacharya S 1995 Phys. Rev. Lett. 74 3029
[4] Grner G 1988 Rev. Mod. Phys. 60 1129
[5] Reichhardt C, Olson Reichhardt C J 2004 Phys. Rev. Lett. 92 108301
[6] Hu B, Yang L 2005 Chaos 15 015119
[7] Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 061130
[8] Bak P 1982 Rep. Prog. Phys. 45 587
[9] Yang Y, Wang C L, Duan W S, Shi Y R, Chen J M 2012 Acta Phys. Sin. 61 130501 (in Chinese) [杨阳, 王苍龙, 段文山, 石玉仁, 陈建敏 2012 61 130501]
[10] Li R T, Duan W S, Yang Y, Wang C L, Chen J M 2011 Euro. Phys. Lett. 94 56003
[11] Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 55 2427]
[12] 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]
[13] Yang Y, Duan W S, Chen J M, Yang L, Tekić J, Shao Z G, Wang C L 2010 Phys. Rev. E 82 051119
[14] Persson B N J 1999 Surf. Sci. Rep. 33 83
[15] Qian L M, Luo J B, Wen S Z, Xiao X D 2000 Acta Phys. Sin. 49 2240 (in Chinese) [钱林茂, 雒建斌, 温诗铸, 萧旭东 2000 49 2240]
[16] Wen S Z 1998 Nano Tnbology (Beijing: Tisinghua University Press) (in Chinese) [温诗铸 1998 纳米摩擦学 (北京：清华大学出版社)]
[17] Zheng Z G 2001 Commun. Theor. Phys. 36 37
[18] Hirano M 2003 Wear 254 932
[19] Xu H B, Wang G R, Chen S G 2000 Chin. Phys. 9 0611
[20] Braun O M, Zhang H, Hu B, Tekić J 2003 Phys. Rev. E 67 066602
[21] Li H X, Xu T, Wang C B, Chen J M, Zhou H D, Liu H W 2007 Tribol. Int. 40 132
[22] Lin M M, Duan W S, Chen J M 2010 Chin. Phys. B 19 026201
[23] Wang C L, Duan W S, Hong X R, Chen J M 2008 Appl. Phys. Lett. 93 153116
[24] Reichhardt C, Gronbech-Jensen N 2001 Phys. Rev. B 63 054510
[25] Reichhardt C, Zimányi G T, Gronbech-Jensen N 2001 Phys. Rev. B 64 014501
[26] Reichhardt C, Zimányi G T, Scalettar R T, Hoffmann A, Schuller I K 2001 Phys. Rev. B 64 052503
[27] Reichhardt C, Olson C J, Hastings M B 2002 Phys. Rev. Lett. 89 024101
[28] Persson B N J, Albolu O, Tartaglino U, Volokitin A I, Tosatti E 2005 J. Phys. : Condens. Matter 17 R01
[29] Yang Y, Duan W S, Yang L, Chen J M, Lin M M 2011 Euro. Phys. Lett. 93 16001
[30] Tekić J, Braun O M, Hu B 2005 Phys. Rev. E 71 026104
[31] Yaron U, Gammel P L, Huse D A, Kleiman R N, Oglesby C S 1995 Nature 376 753
[32] Pardo F, de la Cruz F, Gammel P L, Bucher E, Bishop D J 1998 Nature 396 348
[33] 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, 唐钢, 吴玉喜, 王洪涛, 白磊 2008 57 3160]
[34] Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 58 1504]
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[1] Kontorova T A, Frenkel Y I 1938 Zh. Eksp. Teor. Fiz. 8 1340
[2] Blatter G, Feigel'man M V, Geshkenbein V B, Larkin A I, Vinokur V M 1994 Rev. Mod. Phys. 66 1125
[3] Marley A C, Higgins M J, Bhattacharya S 1995 Phys. Rev. Lett. 74 3029
[4] Grner G 1988 Rev. Mod. Phys. 60 1129
[5] Reichhardt C, Olson Reichhardt C J 2004 Phys. Rev. Lett. 92 108301
[6] Hu B, Yang L 2005 Chaos 15 015119
[7] Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 061130
[8] Bak P 1982 Rep. Prog. Phys. 45 587
[9] Yang Y, Wang C L, Duan W S, Shi Y R, Chen J M 2012 Acta Phys. Sin. 61 130501 (in Chinese) [杨阳, 王苍龙, 段文山, 石玉仁, 陈建敏 2012 61 130501]
[10] Li R T, Duan W S, Yang Y, Wang C L, Chen J M 2011 Euro. Phys. Lett. 94 56003
[11] Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 55 2427]
[12] 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]
[13] Yang Y, Duan W S, Chen J M, Yang L, Tekić J, Shao Z G, Wang C L 2010 Phys. Rev. E 82 051119
[14] Persson B N J 1999 Surf. Sci. Rep. 33 83
[15] Qian L M, Luo J B, Wen S Z, Xiao X D 2000 Acta Phys. Sin. 49 2240 (in Chinese) [钱林茂, 雒建斌, 温诗铸, 萧旭东 2000 49 2240]
[16] Wen S Z 1998 Nano Tnbology (Beijing: Tisinghua University Press) (in Chinese) [温诗铸 1998 纳米摩擦学 (北京：清华大学出版社)]
[17] Zheng Z G 2001 Commun. Theor. Phys. 36 37
[18] Hirano M 2003 Wear 254 932
[19] Xu H B, Wang G R, Chen S G 2000 Chin. Phys. 9 0611
[20] Braun O M, Zhang H, Hu B, Tekić J 2003 Phys. Rev. E 67 066602
[21] Li H X, Xu T, Wang C B, Chen J M, Zhou H D, Liu H W 2007 Tribol. Int. 40 132
[22] Lin M M, Duan W S, Chen J M 2010 Chin. Phys. B 19 026201
[23] Wang C L, Duan W S, Hong X R, Chen J M 2008 Appl. Phys. Lett. 93 153116
[24] Reichhardt C, Gronbech-Jensen N 2001 Phys. Rev. B 63 054510
[25] Reichhardt C, Zimányi G T, Gronbech-Jensen N 2001 Phys. Rev. B 64 014501
[26] Reichhardt C, Zimányi G T, Scalettar R T, Hoffmann A, Schuller I K 2001 Phys. Rev. B 64 052503
[27] Reichhardt C, Olson C J, Hastings M B 2002 Phys. Rev. Lett. 89 024101
[28] Persson B N J, Albolu O, Tartaglino U, Volokitin A I, Tosatti E 2005 J. Phys. : Condens. Matter 17 R01
[29] Yang Y, Duan W S, Yang L, Chen J M, Lin M M 2011 Euro. Phys. Lett. 93 16001
[30] Tekić J, Braun O M, Hu B 2005 Phys. Rev. E 71 026104
[31] Yaron U, Gammel P L, Huse D A, Kleiman R N, Oglesby C S 1995 Nature 376 753
[32] Pardo F, de la Cruz F, Gammel P L, Bucher E, Bishop D J 1998 Nature 396 348
[33] 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, 唐钢, 吴玉喜, 王洪涛, 白磊 2008 57 3160]
[34] Gong B Z, Zhang B J 2009 Acta Phys. Sin. 58 1504 (in Chinese) [龚博致, 张秉坚 2009 58 1504]
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