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Thin film growth by 3D multi-particle diffusion limited aggregation model: Anomalous roughening and fractal analysis

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  • Nasehnejad, Maryam
  • Nabiyouni, G.
  • Gholipour Shahraki, Mehran

Abstract

In this study a 3D multi-particle diffusion limited aggregation method is employed to simulate growth of rough surfaces with fractal behavior in electrodeposition process. A deposition model is used in which the radial motion of the particles with probability P, competes with random motions with probability 1−P. Thin films growth is simulated for different values of probability P (related to the electric field) and thickness of the layer(related to the number of deposited particles). The influence of these parameters on morphology, kinetic of roughening and the fractal dimension of the simulated surfaces has been investigated. The results show that the surface roughness increases with increasing the deposition time and scaling exponents exhibit a complex behavior which is called as anomalous scaling. It seems that in electrodeposition process, radial motion of the particles toward the growing seeds may be an important mechanism leading to anomalous scaling.

Suggested Citation

  • Nasehnejad, Maryam & Nabiyouni, G. & Gholipour Shahraki, Mehran, 2018. "Thin film growth by 3D multi-particle diffusion limited aggregation model: Anomalous roughening and fractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 135-147.
    • Handle: RePEc:eee:phsmap:v:493:y:2018:i:c:p:135-147
    DOI: 10.1016/j.physa.2017.09.099
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    References listed on IDEAS

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    1. Hedayatifar, L. & Masoudi, A.A. & Vasheghani Farahani, S., 2014. "Competitive deposition–evaporation growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 194-199.
    2. Menshutin, Anton Yu. & Shchur, Lev N. & Vinokour, Valery M., 2008. "Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6299-6309.
    3. Nogueira, Isadora R. & Alves, Sidiney G. & Ferreira, Silvio C., 2011. "Scaling laws in the diffusion limited aggregation of persistent random walkers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4087-4094.
    4. Somfai, Ellák & C. Ball, Robin & E. Bowler, Neill & M. Sander, Leonard, 2003. "Correction to scaling analysis of diffusion-limited aggregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 19-25.
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    Cited by:

    1. Pinto, Erveton P. & Pires, Marcelo A. & Matos, Robert S. & Zamora, Robert R.M. & Menezes, Rodrigo P. & Araújo, Raquel S. & de Souza, Tiago M., 2021. "Lacunarity exponent and Moran index: A complementary methodology to analyze AFM images and its application to chitosan films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    2. Salcedo-Sanz, S. & Cuadra, L., 2019. "Hybrid L-systems–Diffusion Limited Aggregation schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 592-605.

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