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Effects of shadowing on the scaling behavior of the ballistic deposition model

Hao Da-Peng Tang Gang Xia Hui Han Kui Xun Zhi-Peng

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Effects of shadowing on the scaling behavior of the ballistic deposition model

Hao Da-Peng, Tang Gang, Xia Hui, Han Kui, Xun Zhi-Peng
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  • In surface roughening of the growth process, the shadowing effect generated by non-normal incidence of particles is a kind of long-range interaction. It is found that the surface morphology and the bulk property in non-normal incidence are nontrivially affected by shadowing effect. In this paper, the effects of the oblique-incidence angle on scaling exponent, skewness and kurtosis in surface statistics and bulk porosity are investigated by simulating the oblique-incidence ballistic deposition model. The results illustrate that there are a non-monotonic relation between scaling exponents and oblique-incidence angle, and the finite size effects of skewness and kurtosis depend on oblique-incidence angle. The simulation results are also analyzed qualitatively in the paper.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No.10674177), the Youth Foundation of China University of Mining Technology (Grant No. 2008A035), and the Fundamental Research Funds for the Central Universities(Grant No.2010LKWL04- CUMT).
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    [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]

    L′opez J M, Rodriguez M A, Cuerno R 1997 Phys. Rev. E 56 3993

    [8]

    L′opez 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?ao Reis F D A 2004 Phys. Rev. E 70 031607

    [12]

    Hao D P, Tang G, Xia H, Han K, Xun Z P 2011 Acta Phys. Sin. 60 038102 (in Chinese) [郝大鹏, 唐刚, 夏辉, 韩奎, 寻之朋 2011 物理学报 60 038102]

    [13]

    Katzav E, Edwards S F, Schwartz M 2006 Europhys. Lett. 75 29

    [14]

    Yu J, Amar J G 2002 Phys. Rev. E 65 060601

    [15]

    Silveira F A, Aar?ao Reis F D A 2007 Phys. Rev. E 75 061608

    [16]

    Shim Y, Borovikov V, Amar J G 2008 Phys. Rev. B 77 235423

    [17]

    Forgerini F L, Figueiredo W 2009 Phys. Rev. E 79 041602

    [18]

    Yu J G, Amar J G 2002 Phys. Rev. E 66 021603

    [19]

    Datta D P, Chini T K 2007 Phys. Rev. B 76 075323

    [20]

    Kim J, Dohnalek Z, Kay B D 2005 Surface Science 586 137

    [21]

    Asgharizadeh S, Sutton M 2009 Phys. Rev. B 79 125405

    [22]

    Dolatshahi-Pirouz A, Hovgaard M B, Rechendorff K, Chevallier J, Foss M, Besenbacher F 2008 Phys. Rev. B 77 115427

    [23]

    Rabbering FW, Stoian G, Gastel R V,Wormeester H, Poelsema B 2010 Phys. Rev. B 81 115425

    [24]

    Shim Y, Amar J G 2007 Phys. Rev. Lett. 98 046103

    [25]

    Shim Y, Mills M E, Borovikov V, Amar J G 2009 Phys. Rev. E 79 051604

    [26]

    Hu B, Tang G 2002 Phys. Rev. E 66 026105

    [27]

    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]

    [28]

    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]

    [29]

    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]

    [30]

    Pelliccione M, Lu T M 2008 Evolution of Thin Film Morphology (London: Springer-Verlag)

    [31]

    Aar?ao Reis F D A 2001 Phys. Rev. E 63 056116

    [32]

    Ramasco J J, L′opez J M, Rodr′?guez M A 2000 Phys. Rev. Lett. 84 2199

    [33]

    L′opez J M, Castro M, Gallego R 2005 Phys. Rev. Lett. 94 166103

    [34]

    Asgharizadeh S, Sutton M, Robbie K, Brown T 2009 Phys. Rev. B 79 125405

  • [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]

    L′opez J M, Rodriguez M A, Cuerno R 1997 Phys. Rev. E 56 3993

    [8]

    L′opez 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?ao Reis F D A 2004 Phys. Rev. E 70 031607

    [12]

    Hao D P, Tang G, Xia H, Han K, Xun Z P 2011 Acta Phys. Sin. 60 038102 (in Chinese) [郝大鹏, 唐刚, 夏辉, 韩奎, 寻之朋 2011 物理学报 60 038102]

    [13]

    Katzav E, Edwards S F, Schwartz M 2006 Europhys. Lett. 75 29

    [14]

    Yu J, Amar J G 2002 Phys. Rev. E 65 060601

    [15]

    Silveira F A, Aar?ao Reis F D A 2007 Phys. Rev. E 75 061608

    [16]

    Shim Y, Borovikov V, Amar J G 2008 Phys. Rev. B 77 235423

    [17]

    Forgerini F L, Figueiredo W 2009 Phys. Rev. E 79 041602

    [18]

    Yu J G, Amar J G 2002 Phys. Rev. E 66 021603

    [19]

    Datta D P, Chini T K 2007 Phys. Rev. B 76 075323

    [20]

    Kim J, Dohnalek Z, Kay B D 2005 Surface Science 586 137

    [21]

    Asgharizadeh S, Sutton M 2009 Phys. Rev. B 79 125405

    [22]

    Dolatshahi-Pirouz A, Hovgaard M B, Rechendorff K, Chevallier J, Foss M, Besenbacher F 2008 Phys. Rev. B 77 115427

    [23]

    Rabbering FW, Stoian G, Gastel R V,Wormeester H, Poelsema B 2010 Phys. Rev. B 81 115425

    [24]

    Shim Y, Amar J G 2007 Phys. Rev. Lett. 98 046103

    [25]

    Shim Y, Mills M E, Borovikov V, Amar J G 2009 Phys. Rev. E 79 051604

    [26]

    Hu B, Tang G 2002 Phys. Rev. E 66 026105

    [27]

    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]

    [28]

    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]

    [29]

    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]

    [30]

    Pelliccione M, Lu T M 2008 Evolution of Thin Film Morphology (London: Springer-Verlag)

    [31]

    Aar?ao Reis F D A 2001 Phys. Rev. E 63 056116

    [32]

    Ramasco J J, L′opez J M, Rodr′?guez M A 2000 Phys. Rev. Lett. 84 2199

    [33]

    L′opez J M, Castro M, Gallego R 2005 Phys. Rev. Lett. 94 166103

    [34]

    Asgharizadeh S, Sutton M, Robbie K, Brown T 2009 Phys. Rev. B 79 125405

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Publishing process
  • Received Date:  18 March 2011
  • Accepted Date:  26 April 2011
  • Published Online:  05 January 2012

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