A Conserved Current Solid-on-Solid Model on a Sierpinski Tetrahedron Substrate

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 (beta) , with beta = 0.0396 +/- 0.0009, and becomes saturated as L (alpha), with alpha = 0.195 +/- 0.005, where L is the system size. The dynamic exponent z ae 4.92 is estimated from the relation z = alpha/beta. These values satisfy a scaling relation alpha+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.