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The effect of the initial velocity of boundary atom on the motion of an atomic chain is studied by the one-dimensional Frenkel-Kontorova model. The obatined results show that the three phases could be observed in our simulation, these being harmonic phase when vv1, choatic phase when v1vv2 and uniformity phase when vv2. It is aslo shown that the two critical velocites(v1,v2) are strongly influenced by the number of atoms and the depth of the substrate potential.
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Keywords:
- Frenkel-Kontorova model /
- phase transitions
[1] Xu H B, Xu A G, Wang G R, Chen S G 2000 Chin.Phys. 9 0611
[2] [3] Hu B, Yang L 2005 Chaos 15 015119
[4] Vanossi A, Roder J, Bishop A R, Bortolani V 2003 Phys. Rev. E 67 016605
[5] [6] [7] Vanossi A, Franchini A, Bortolani V 2002 Surf. Sci. 502-503 437
[8] [9] Li H B, Zhao H, Wang Y H 2002 Phys. Lett. A 298 361
[10] Tekic J, Braun O M, Hu B 2005 Phys. Rev. E 71 026104
[11] [12] Braun O M, Zhang H, Hu B, Tekic J 2003 Phys. Rev. E 67 066602
[13] [14] Braun O M, Bishop A R, Roder J 1997 Phys. Rev. Lett. 79 3692
[15] [16] [17] Vanossi A, Manini N, Divitini G, Santoro G E, Tosatti E 2006 Phys. Rev. Lett. 97 056101
[18] Wang C L, Duan W S, Hong X R, Chen J M 2008 Appl. Phys. Lett. 93 153116
[19] [20] 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]
[21] [22] Boyce J B, Huberman B A 1979 Phys. Rep. 51 189
[23] [24] Paneth H R 1950 Phys. Rev. 80 708
[25] [26] [27] Blatter G 1994 Rev. Mod. Phys. 66 1125
[28] [29] Higgins M J, Bhattacharya S 1995 Phys. Rev. Lett. 74 3029
[30] Gruner G 1988 Rev. Mod. Phys. 60 1129
[31] [32] Reichhardt C, Olson Reichhardt C J 2004 Phys.Rev.Lett. 92 108301
[33] [34] [35] Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 061130
[36] [37] Bak P 1982 Rep. Prog. Phys. 45 587
[38] Reichhardt C, Olson C J, Grnbech-Jensen N, Nori F 2001 Phys.Rev.Lett. 86 4354
[39] [40] [41] Middleton A A, Wingreen N S 1993 Phys.Rev.Lett. 71 3198
[42] [43] Reichhardt C, Olson Reichhardt C J 2003 Phys.Rev.Lett. 90 046802
[44] [45] 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]
[46] Thorne R E, Hubacek J S, Lyons W G, Lyding J W, Tucker J R 1988 Phys. Rev. B 37 10055
[47] [48] Thorne R E, Lyons W G, Lyding J W, Tucker J R, Bardeen J 1987 Phys. Rev. B 35 6348
[49] [50] Thorne R E, Lyons W G, Lyding J W, Tucker J R, Bardeen J 1987 Phys. Rev. B 35 6360
[51] [52] [53] Thorne R E, Tucker J R, Bardeen J 1987 Phys. Rev. Lett. 58 828
[54] Thorne R E, Tucker J R, Bardeen J, Brown S E, Gr ner G 1986 Phys. Rev. B 33 7342
[55] [56] Kriza G, Quirion G, Traetteberg O, Kang W, Jrome D 1991 Phys. Rev. Lett. 66 1922
[57] [58] [59] Li B, Lan J H, Wang L 2005 Phys. Rev. Lett. 95 104302
[60] Zheng Z G, Hu B, Hu G 1998 Phys. Rev. B 58 5453
[61] -
[1] Xu H B, Xu A G, Wang G R, Chen S G 2000 Chin.Phys. 9 0611
[2] [3] Hu B, Yang L 2005 Chaos 15 015119
[4] Vanossi A, Roder J, Bishop A R, Bortolani V 2003 Phys. Rev. E 67 016605
[5] [6] [7] Vanossi A, Franchini A, Bortolani V 2002 Surf. Sci. 502-503 437
[8] [9] Li H B, Zhao H, Wang Y H 2002 Phys. Lett. A 298 361
[10] Tekic J, Braun O M, Hu B 2005 Phys. Rev. E 71 026104
[11] [12] Braun O M, Zhang H, Hu B, Tekic J 2003 Phys. Rev. E 67 066602
[13] [14] Braun O M, Bishop A R, Roder J 1997 Phys. Rev. Lett. 79 3692
[15] [16] [17] Vanossi A, Manini N, Divitini G, Santoro G E, Tosatti E 2006 Phys. Rev. Lett. 97 056101
[18] Wang C L, Duan W S, Hong X R, Chen J M 2008 Appl. Phys. Lett. 93 153116
[19] [20] 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]
[21] [22] Boyce J B, Huberman B A 1979 Phys. Rep. 51 189
[23] [24] Paneth H R 1950 Phys. Rev. 80 708
[25] [26] [27] Blatter G 1994 Rev. Mod. Phys. 66 1125
[28] [29] Higgins M J, Bhattacharya S 1995 Phys. Rev. Lett. 74 3029
[30] Gruner G 1988 Rev. Mod. Phys. 60 1129
[31] [32] Reichhardt C, Olson Reichhardt C J 2004 Phys.Rev.Lett. 92 108301
[33] [34] [35] Shao Z G, Yang L, Zhong W R, He D H, Hu B 2008 Phys. Rev. E 78 061130
[36] [37] Bak P 1982 Rep. Prog. Phys. 45 587
[38] Reichhardt C, Olson C J, Grnbech-Jensen N, Nori F 2001 Phys.Rev.Lett. 86 4354
[39] [40] [41] Middleton A A, Wingreen N S 1993 Phys.Rev.Lett. 71 3198
[42] [43] Reichhardt C, Olson Reichhardt C J 2003 Phys.Rev.Lett. 90 046802
[44] [45] 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]
[46] Thorne R E, Hubacek J S, Lyons W G, Lyding J W, Tucker J R 1988 Phys. Rev. B 37 10055
[47] [48] Thorne R E, Lyons W G, Lyding J W, Tucker J R, Bardeen J 1987 Phys. Rev. B 35 6348
[49] [50] Thorne R E, Lyons W G, Lyding J W, Tucker J R, Bardeen J 1987 Phys. Rev. B 35 6360
[51] [52] [53] Thorne R E, Tucker J R, Bardeen J 1987 Phys. Rev. Lett. 58 828
[54] Thorne R E, Tucker J R, Bardeen J, Brown S E, Gr ner G 1986 Phys. Rev. B 33 7342
[55] [56] Kriza G, Quirion G, Traetteberg O, Kang W, Jrome D 1991 Phys. Rev. Lett. 66 1922
[57] [58] [59] Li B, Lan J H, Wang L 2005 Phys. Rev. Lett. 95 104302
[60] Zheng Z G, Hu B, Hu G 1998 Phys. Rev. B 58 5453
[61]
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