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An extended fractal growth regime in the diffusion limited aggregation including edge diffusion
1.B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
, J. Romeu
, R. Pous
, and A. Cardama
, in Fractals in Engineering
, edited byJ. L. Vehel
, E. Lutton
, and C. Tricot
, New York
), See www.fractus.com
for fractal antenna technology.
6.H. Samavati, A. Hajimiri, A. R. Shahani, G. N. Nasserbakht, and T. H. Lee, “Fractal capacitors,” Solid-State Circuits, IEEE Journal of 33, 2035–2041 (1998).
8.R. Batabyal, J. C. Mahato, D. Das, A. Roy, and B. N. Dev, “Self-organized one-atom thick fractal nanoclusters via field-induced atomic transport,” J. Appl. Phys. 114, 064304 (2013).
15.A. Brodde, G. Wilhelmi, D. Badt, H. Wengelnik, and H. Neddermeyer, “The growth of ag films on ni(100),” J. Vac. Sci. Technol. B 9, 920–923 (1991).
17.H.-J. Ernst, F. M. C. Fabre, and J. Lapujoulade, “Nucleation and diffusion of cu adatoms on cu(100): A helium-atom-beam scattering study,” Phys. Rev. B 46, 1929–1932 (1992).
18.J. A. Stroscio, D. T. Pierce, and R. A. Dragoset, “Homoepitaxial growth of iron and a real space view of reflection-high-energy-electron diffraction,” Phys. Rev. Lett. 70, 3615–3618 (1993).
19.D. D. Chambliss and R. J. Wilson, “Relaxed diffusion limited aggregation of ag on au(111) observed by scanning tunneling microscopy,” J. Vac. Sci. Technol. B 9, 928–932 (1991).
20.E. Kopatzki, S. Günther, W. Nichtl-Pecher, and R. J. Behm, “Homoepitaxial growth on ni(100) and its modification by a preadsorbed oxygen adlayer,” Surf. Sci. 284, 154–166 (1993).
21.B. Müller, L. Nedelmann, B. Fischer, H. Brune, and K. Kern, “Initial stages of cu epitaxy on ni(100): Postnucleation and a well-defined transition in critical island size,” Phys. Rev. B 54, 17858–17865 (1996).
22.B. Müller, L. Nedelmann, B. Fischer, H. Brune, J. V. Barth, and K. Kern, “Island shape transition in heteroepitaxial metal growth on square lattices,” Phys. Rev. Lett. 80, 2642–2645 (1998).
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We have investigated on-lattice diffusion limited aggregation (DLA) involving edge diffusion and compared the results with the standard DLA model. For both cases, we observe the existence of a crossover from the fractal to the compact regime as a function of sticking coefficient. However, our modified DLA model including edge diffusion shows an extended fractalgrowth regime like an earlier theoretical result using realistic growth models and physical parameters [Zhang et al., Phys. Rev. Lett. 73 (1994) 1829]. While the results of Zhang et al. showed the existence of the extended fractalgrowth regime only on triangular but not on square lattices, we find its existence on the square lattice. There is experimental evidence of this growth regime on a square lattice. The standard DLA model cannot characterize fractal morphology as the fractal dimension (Hausdorff dimension, DH) is insensitive to morphology. It also predicts DH = DP (the perimeter dimension). For the usual fractalstructures, observed in growth experiments on surfaces, the perimeter dimension can differ significantly (DH ≠ DP) depending on the morphology. Our modified DLA model shows minor sensitivity to this difference.
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