Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

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

Citation:

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

Hao Da-Peng, Tang Gang, Xia Hui, Han Kui, Xun Zhi-Peng
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • 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).
    [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 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 51 994]

    [28]

    Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐刚, 马本堃 2001 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 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 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 51 994]

    [28]

    Tang G, Ma B K 2001 Acta Phys. Sin. 50 851 (in Chinese) [唐刚, 马本堃 2001 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 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] Song Tian-Shu, Xia Hui. Study on dynamic scaling behavior of Villain-Lai-Das Sarma equation based on numerically stable nueral networks. Acta Physica Sinica, 2024, 73(16): 160501. doi: 10.7498/aps.73.20240852
    [2] Yang Yi, Tang Gang, Zhang Zhe, Xun Zhi-Peng, Song Li-Jian, Han Kui. Numerical investigations of dynamic behaviors of the restricted solid-on-solid model for Koch fractal substrates. Acta Physica Sinica, 2015, 64(13): 130501. doi: 10.7498/aps.64.130501
    [3] Chen Chong, Ding Jiong, Zhang Hong, Chen Zhuo. Study of an integrate-and-discharge model with symbolic dynamics. Acta Physica Sinica, 2013, 62(14): 140502. doi: 10.7498/aps.62.140502
    [4] Xun Zhi-Peng, Tang Gang, Xia Hui, Hao Da-Peng. Numerical study on the dynamic behavior of internal structure of 1+1-dimensional ballistic deposition model. Acta Physica Sinica, 2013, 62(1): 010503. doi: 10.7498/aps.62.010503
    [5] Zhang Yong-Wei, Tang Gang, Han Kui, Xun Zhi-Peng, Xie Yu-Ying, Li Yan. Numerical simulations of dynamic scaling behavior of the etching model on fractal substrates. Acta Physica Sinica, 2012, 61(2): 020511. doi: 10.7498/aps.61.020511
    [6] Xie Yu-Ying, Tang Gang, Xun Zhi-Peng, Han Kui, Xia Hui, Hao Da-Peng, Zhang Yong-Wei, Li Yan. Numerical simulation of dynamic scaling behavior of the etching model on randomly diluted lattices. Acta Physica Sinica, 2012, 61(7): 070506. doi: 10.7498/aps.61.070506
    [7] Zhang Zhen-Jun, Yu Miao, Gong Long-Yan, Tong Pei-Qing. Wave packet dynamics of two extended Harper models. Acta Physica Sinica, 2011, 60(9): 097104. doi: 10.7498/aps.60.097104
    [8] Wu Yu, Yang Jing-Jing, Wang Li. Kinetic property analysis of emergent behaviors in Swarm model. Acta Physica Sinica, 2011, 60(10): 108902. doi: 10.7498/aps.60.108902
    [9] Hao Da-Peng, Tang Gang, Xia Hui, Han Kui, Xun Zhi-Peng. Finite size effect of the ballistic depositionmodel with shadowing. Acta Physica Sinica, 2011, 60(3): 038102. doi: 10.7498/aps.60.038102
    [10] Zhu Qi, Pan Bai-Liang, Chen Li, Wang Ya-Juan, Zhang Xun-Yi. A kinetic model for optically pumped cesium vapor laser. Acta Physica Sinica, 2010, 59(3): 1797-1801. doi: 10.7498/aps.59.1797
    [11] Wang Yan, Zheng Zhi-Gang. Spreading dynamics on scale-free networks. Acta Physica Sinica, 2009, 58(7): 4421-4425. doi: 10.7498/aps.58.4421
    [12] Chen Gang, Zhuang De-Wen, Zhang Hang, Xu Jun, Cheng Cheng. A difference method to solve the laser kinetic model involving temporal-special evolution. Acta Physica Sinica, 2008, 57(8): 4953-4959. doi: 10.7498/aps.57.4953
    [13] Ren Min, Zhang Lei, Hu Jiu-Ning, Deng Ning, Chen Pei-Yi. A macroscopic model of current-induced magnetization switching based on magnetic dynamic equation. Acta Physica Sinica, 2007, 56(5): 2863-2867. doi: 10.7498/aps.56.2863
    [14] Hao Da-Peng, Tang Gang, Xia Hui, Chen Hua, Zhang Lei-Ming, Xun Zhi-Peng. Self-consistent mode-coupling theory of the nonlocal Sun-Guo-Grant equation. Acta Physica Sinica, 2007, 56(4): 2018-2023. doi: 10.7498/aps.56.2018
    [15] Yang Ji-Jun, Xu Ke-Wei. Surface dynamic evolution of Ta film growth in the initial stage. Acta Physica Sinica, 2007, 56(10): 6023-6027. doi: 10.7498/aps.56.6023
    [16] Tang Jun, Yang Xian-Qing, Qiu Kang. Studies on dynamical behavior in reaction limited aggregation model. Acta Physica Sinica, 2005, 54(7): 3307-3311. doi: 10.7498/aps.54.3307
    [17] Chen Bo, Tong Pei-Qing. Dynamics of many particles in the urn model. Acta Physica Sinica, 2005, 54(12): 5554-5558. doi: 10.7498/aps.54.5554
    [18] YANG YUAN, DAI JIAN-HUA, ZHANG HONG-JUN. THE DYNAMICAL BEHAVIOR OF A DISCRETE MODEL OF OPTICAL BISTABLE SYSTEM. Acta Physica Sinica, 1994, 43(5): 699-706. doi: 10.7498/aps.43.699
    [19] CHENG CHENG, SUN WEI. A KINETICS MODEL AND STUDY OF CuBr PULSED LASERS. Acta Physica Sinica, 1992, 41(10): 1605-1612. doi: 10.7498/aps.41.1605
    [20] FANG LI-ZHI, OU ZHI. THEORY OF THE DYNAMICAL JAHN-TELLER EFFECT IN STRONG COUPLING. Acta Physica Sinica, 1966, 22(4): 471-486. doi: 10.7498/aps.22.471
Metrics
  • Abstract views:  6871
  • PDF Downloads:  575
  • Cited By: 0
Publishing process
  • Received Date:  18 March 2011
  • Accepted Date:  26 April 2011
  • Published Online:  05 January 2012

/

返回文章
返回
Baidu
map