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The model of ballistic deposition (BD) with shadowing means that the tilt incidence of particles in a certain angle of distribution is taken into account based on the BD model. In this paper,in order to investigate the finite size effect and the scaling properties of the BD with shadowing,the extrapolation method is used to determine the asymptotic scaling exponents of the model in the large-size limit. The simulation results illustrate that the finite size effect on BD with shadowing is different from that on BD, and the shadowing as a nonlocal interation can significantly change the scaling properties of BD model.
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Keywords:
- shadowing effect /
- ballistic deposition model /
- finite size effect /
- dynamic scaling
[1] Meakin P 1998 Fractal, Scaling and Growth far from Equilibrium (Cambridge: Cambridge University Press)
[2] Barabasi A L,Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
[3] Family F, Vicsek T 1991 Dynamics of Fractal Surfaces (Singapore: World Scientific Press)
[4] Family F, Vicsek T 1985 J. Phys. A 18 L75
[5] Edwards S F, Wilkinson D R 1982 Proc. R. Soc. London A 381 17
[6] Kardar M, Parisi G, Zhang Y C 1986 Phys. Rev. Lett. 56 889
[7] López J M, Rodriguez M A, Cuerno R 1997 Phys. Rev. E 56 3993
[8] López J M, Rodriguez M A, Cuerno R 1997 Physica A 246 329
[9] Pang N N, Tzeng W J 2004 Phys. Rev. E 70 036115
[10] Chin C S, Nijs M D 1999 Phys. Rev. E 59 2633
[11] Aaro Reis F D A 2004 Phys. Rev. E 70 031607
[12] Aaro Reis F D A 2001 Phys. Rev. E 63 056116
[13] Aaro Reis F D A 2002 Physica A 316 250
[14] Costa B S, Euzébio J A R, Aaro Reis F D A 2003 Physica A 328 193
[15] Aaro Reis F D A 2006 Physica A 364 190
[16] Hu B, Tang G 2002 Phys. Rev. E 66 026105
[17] Tang G, Ma B K 2002 Acta Phys. Sin. 51 994 (in Chinese) [唐 刚、马本堃 2002 51 994]
[18] Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐 刚、马本堃 2001 50 851]
[19] 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]
[20] Pelliccione M, Lu T M 2008 Evolution of Thin Film Morphology (London: Springer-Verlag)
[21] Yu J G, Amar J G 2002 Phys. Rev. E 66 021603
[22] Ramasco J J, López J M, Rodríguez M A 2000 Phys. Rev. Lett. 84 2199
[23] López J M, Castro M, Gallego R 2005 Phys. Rev. Lett. 94 166103
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[1] Meakin P 1998 Fractal, Scaling and Growth far from Equilibrium (Cambridge: Cambridge University Press)
[2] Barabasi A L,Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
[3] Family F, Vicsek T 1991 Dynamics of Fractal Surfaces (Singapore: World Scientific Press)
[4] Family F, Vicsek T 1985 J. Phys. A 18 L75
[5] Edwards S F, Wilkinson D R 1982 Proc. R. Soc. London A 381 17
[6] Kardar M, Parisi G, Zhang Y C 1986 Phys. Rev. Lett. 56 889
[7] López J M, Rodriguez M A, Cuerno R 1997 Phys. Rev. E 56 3993
[8] López J M, Rodriguez M A, Cuerno R 1997 Physica A 246 329
[9] Pang N N, Tzeng W J 2004 Phys. Rev. E 70 036115
[10] Chin C S, Nijs M D 1999 Phys. Rev. E 59 2633
[11] Aaro Reis F D A 2004 Phys. Rev. E 70 031607
[12] Aaro Reis F D A 2001 Phys. Rev. E 63 056116
[13] Aaro Reis F D A 2002 Physica A 316 250
[14] Costa B S, Euzébio J A R, Aaro Reis F D A 2003 Physica A 328 193
[15] Aaro Reis F D A 2006 Physica A 364 190
[16] Hu B, Tang G 2002 Phys. Rev. E 66 026105
[17] Tang G, Ma B K 2002 Acta Phys. Sin. 51 994 (in Chinese) [唐 刚、马本堃 2002 51 994]
[18] Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐 刚、马本堃 2001 50 851]
[19] 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]
[20] Pelliccione M, Lu T M 2008 Evolution of Thin Film Morphology (London: Springer-Verlag)
[21] Yu J G, Amar J G 2002 Phys. Rev. E 66 021603
[22] Ramasco J J, López J M, Rodríguez M A 2000 Phys. Rev. Lett. 84 2199
[23] López J M, Castro M, Gallego R 2005 Phys. Rev. Lett. 94 166103
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