点缺陷对表面生长动力学标度行为的影响

张雷明; 夏辉

doi:10.7498/aps.61.086801

摘要

基于含噪声Kuramoto-Sivashinsky方程, 采用动力学重正化群技术, 研究生长表面存在点缺陷或杂质对表面生长动力学标度行为的影响, 得到了相应的粗糙度指数和动力学标度指数z. 所得结果表明, 点缺陷的存在使生长表面粗化, 并缩短达到稳定生长的弛豫时间.

关键词:

The dynamic scaling properties of growing surfaces with point-defects are studied by applying the dynamic renormalization-group approach to the noisy Kuramoto-Sivashinsky equation with an additional term of point-defects potential. From the roughness and the dynamic exponents and z obtained here it follows that point-defects tend to roughen the growing surface and shorten its dynamic relaxation process to a steady-growth state.

Keywords:

surface growth /
dynamic renormalization-group approach /
point-defects

作者及机构信息

张雷明¹,
夏辉²

1.
中国矿业大学徐海学院, 徐州 221008;

2.
中国矿业大学物理系, 徐州 221008

Authors and contacts

Zhang Lei-Ming¹,
Xia Hui²

1.
Xuhai College, China University of Mining and Technology, Xuzhou 221008, China;

2.
Department of Physics, China University of Mining and Technology, Xuzhou 221008, China

参考文献

[1]	Family F, Vicsek T 1991 Dynamics of Fractal Furfaces (Singapore: World Scientific Press)
[2]	Barabasi A L, Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
[3]	Xia H, Tang G, Han K, Hao D P, Chen H, Zhang L M 2006 Mod. Phys. Lett. B 20 30
[4]	Lee C H, Lee S B 2010 Physica A 389 5053
[5]	Ma B K, Chu W D, Tang G 1999 J. Beijing Normal Univ. (Nat. Sci.) 35 336 (in Chinese) [马本堃, 楚卫东, 唐刚 1999 北京师范大学学报 (自然科学版) 35 336]
[6]	Tang G, Ma B K 2001 Phys. Rev. E 63 021106
[7]	Chou Y L, Michel P, Zia R K 2009 Phys. Rev. E 80 061602
[8]	Hu B, Tang G 2002 Phys. Rev. E 66 026105
[9]	Halpin H T, Zhang Y C 1995 Phys. Rep. 254 215
[10]	Family F, Vicsek T 1985 J. Phys. A 18 L75
[11]	Cuerno R, Barabasi A L 1995 Phys. Rev. Lett. 74 4746
[12]	Cuerno R, Lauritsen K B 1995 Phys. Rev. E 52 4853
[13]	Doherty J P, Moore M A, Kim J M, Bray A J 1994 Phys. Rev. Lett. 72 2041
[14]	Colaiori F, Moore M A 2001 Phys. Rev. Lett. 86 3946
[15]	Hao D P, Tang G, Xia H, Chen H, Zhang L M, Xun Z P 2007 Acta Phys. Sin. 56 2018 (in Chinese) [郝大鹏, 唐刚, 夏辉, 陈华, 张雷明, 寻之朋 2007 物理学报 56 2018]
[16]	Grousson M, Krakoviack V, Tarjus G, Viot P 2002 Phys. Rev. E 66 026126
[17]	Medina E, Hwa T, Kardar M, Zhang Y C 1989 Phys. Rev. A 39 3053
[18]	Kardar M, Parisi G, Zhang Y C 1986 Phys. Rev. Lett. 56 889
[19]	Uenno K, Sakaguchi H, Okamura M 2005 Phys. Rev. E 71 046138
[20]	Forster D, Nelson D, Stephen M J 1977 Phys. Rev. A 16 732

施引文献

[1]	Family F, Vicsek T 1991 Dynamics of Fractal Furfaces (Singapore: World Scientific Press)
[2]	Barabasi A L, Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
[3]	Xia H, Tang G, Han K, Hao D P, Chen H, Zhang L M 2006 Mod. Phys. Lett. B 20 30
[4]	Lee C H, Lee S B 2010 Physica A 389 5053
[5]	Ma B K, Chu W D, Tang G 1999 J. Beijing Normal Univ. (Nat. Sci.) 35 336 (in Chinese) [马本堃, 楚卫东, 唐刚 1999 北京师范大学学报 (自然科学版) 35 336]
[6]	Tang G, Ma B K 2001 Phys. Rev. E 63 021106
[7]	Chou Y L, Michel P, Zia R K 2009 Phys. Rev. E 80 061602
[8]	Hu B, Tang G 2002 Phys. Rev. E 66 026105
[9]	Halpin H T, Zhang Y C 1995 Phys. Rep. 254 215
[10]	Family F, Vicsek T 1985 J. Phys. A 18 L75
[11]	Cuerno R, Barabasi A L 1995 Phys. Rev. Lett. 74 4746
[12]	Cuerno R, Lauritsen K B 1995 Phys. Rev. E 52 4853
[13]	Doherty J P, Moore M A, Kim J M, Bray A J 1994 Phys. Rev. Lett. 72 2041
[14]	Colaiori F, Moore M A 2001 Phys. Rev. Lett. 86 3946
[15]	Hao D P, Tang G, Xia H, Chen H, Zhang L M, Xun Z P 2007 Acta Phys. Sin. 56 2018 (in Chinese) [郝大鹏, 唐刚, 夏辉, 陈华, 张雷明, 寻之朋 2007 物理学报 56 2018]
[16]	Grousson M, Krakoviack V, Tarjus G, Viot P 2002 Phys. Rev. E 66 026126
[17]	Medina E, Hwa T, Kardar M, Zhang Y C 1989 Phys. Rev. A 39 3053
[18]	Kardar M, Parisi G, Zhang Y C 1986 Phys. Rev. Lett. 56 889
[19]	Uenno K, Sakaguchi H, Okamura M 2005 Phys. Rev. E 71 046138
[20]	Forster D, Nelson D, Stephen M J 1977 Phys. Rev. A 16 732

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