Abstract
A conserved current solid-on-solid model with conservative noise on a 3D Sierpinski tetrahedron substrate is studied. The interface width W grows as tβ, 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.
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Kim, J.M., Kang, D. A Conserved Current Solid-on-Solid Model on a Sierpinski Tetrahedron Substrate. J. Korean Phys. Soc. 72, 699–702 (2018). https://doi.org/10.3938/jkps.72.699
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DOI: https://doi.org/10.3938/jkps.72.699