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含遮蔽抛射沉积模型的有限尺寸效应

郝大鹏 唐刚 夏辉 韩奎 寻之朋

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含遮蔽抛射沉积模型的有限尺寸效应

郝大鹏, 唐刚, 夏辉, 韩奎, 寻之朋

Finite size effect of the ballistic depositionmodel with shadowing

Hao Da-Peng, Tang Gang, Xia Hui, Han Kui, Xun Zhi-Peng
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  • 含遮蔽抛射沉积模型是在抛射沉积(BD)模型的基础上考虑了粒子以一定的角度分布倾斜入射的情况.本文应用外推方法确定了大尺寸极限下含遮蔽抛射沉积模型的各标度指数,讨论了该模型的有限尺寸效应及其标度性质.从模拟结果可以看出含遮蔽BD模型的有限尺寸效应与BD模型有所不同,遮蔽这种非局域作用可以显著地改变BD模型的标度性质.
    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.
    • 基金项目: 国家自然科学基金(批准号:10674177)和中国矿业大学校青年基金(批准号:2008A035)资助的课题.
    [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]

    Aaro Reis F D A 2004 Phys. Rev. E 70 031607

    [12]

    Aaro Reis F D A 2001 Phys. Rev. E 63 056116

    [13]

    Aaro Reis F D A 2002 Physica A 316 250

    [14]

    Costa B S, Euzébio J A R, Aaro Reis F D A 2003 Physica A 328 193

    [15]

    Aaro 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 物理学报 51 994]

    [18]

    Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐 刚、马本堃 2001 物理学报 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 物理学报 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

  • [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]

    Aaro Reis F D A 2004 Phys. Rev. E 70 031607

    [12]

    Aaro Reis F D A 2001 Phys. Rev. E 63 056116

    [13]

    Aaro Reis F D A 2002 Physica A 316 250

    [14]

    Costa B S, Euzébio J A R, Aaro Reis F D A 2003 Physica A 328 193

    [15]

    Aaro 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 物理学报 51 994]

    [18]

    Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐 刚、马本堃 2001 物理学报 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 物理学报 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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  • PDF下载量:  2034
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-04-16
  • 修回日期:  2010-06-29
  • 刊出日期:  2011-03-15

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