A Conserved Current Solid-on-Solid Model on a Sierpinski Tetrahedron Substrate
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A conserved current solid-on-solid model with conservative noise on a 3D Sierpinski tetrahedron substrate is studied. The interface width W grows as t β , with β = 0.0396 ± 0.0009, and becomes saturated as Lα, with α = 0.195±0.005, where L is the system size. The dynamic exponent z ≈ 4.92 is estimated from the relation z = α/β. These values satisfy a scaling relation α+z = 2z rw , where z rw is the random walk exponent of the fractal substrate. Our results are consistent with the values estimated from a fractional Langevin equation with a conservative noise.
KeywordsConserved current solid on solid model Conservative noise Fractal growth
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- Molecular Beam Epitaxy and Heterostructures, edited by L. L. Chang and K. Ploog (Martinus Nijhoff, Dordrecht, 1985).Google Scholar
- D. H. Kim and J. M. Kim, J. Stat Mech., P08008 (2010).Google Scholar
- S. B. Lee, H-C. Jeong and J. M. Kim, J. Stat. Mech., P12013 (2008).Google Scholar
- D. H. Kim and J. M. Kim, J. Stat. Mech., P09012 (2012).Google Scholar