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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.
[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 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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[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 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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