title: Restricted solid-on-solid model with a proper restriction parameter N in 4+1 dimensions.
abstract: A restricted solid-on-solid growth model is studied for various restriction parameters N in d=4+1 dimensions. The interface width W grows as t^{β} with β=0.158 ± 0.006 and W follows W∼L{α} at saturation with α=0.273 ± 0.009, where L is the system size. The dynamic exponent z≈1.73 is obtained from the relation z=α/β. The estimated exponents satisfy the scaling relation α+z=2 very well. Our results indicate that the upper critical dimension of the Kardar-Parisi-Zhang equation is larger than d=4+1 dimensions. With a proper choice of the restriction parameter N, we can reduce the discrete effect of the height to the width and obtain the values of the exponents accurately.
authors.affiliation: Department of Physics and Institute for Integrative Basic Sciences, Soongsil University, Seoul 156-743, Korea.
authors.forename: Jin Min
authors.initials: JM
authors.lastname: Kim
authors.forename: Sang-Woo
authors.initials: SW
authors.lastname: Kim